EX is the only CRA to which I have a $14.55 medical collection. I'm assuming the full FICO pull (it's from the 3 score side-by-side report here on myFICO) ignores this collection adn the FAKO (pulled from freecreditrreport) does not? I don't know how else to account for such a huge discrepancy on the same day of a pull.
Starting Score: 578 (3/11/13)
The EX FICO you pulled here uses EX 08. The 08 model ignores small collections under 100, so your score shouldn't be affected. No idea what causes the EX FAKO to behave as it does.
A little bit about FICO 08.
What Changed in FICO® 8 Score
Here's a look at what changed the most in creating the FICO 8 score.
High credit card usage
FICO 8 score is more sensitive to highly utilized credit cards. So if your credit report shows a high balance close to the card's limit, your score will likely lose more points than it would have previously. You may want to consider keeping any monthly credit card balance low.
Isolated late payments
If a lender reports to the credit bureau that you were at least 30 days late with your payment, your FICO 8 score will likely lose points. If the late payment is an isolated event and your other accounts are in good standing, the FICO 8 score is more forgiving compared with scores from previous FICO formulas. However if your credit report shows numerous late payments, the reverse is true and your FICO 8 score will likely lose more points.
Authorized user of credit card
Every generation of the FICO score formula has included authorized user credit card accounts when calculating a person's score. FICO 8 score continues that policy. This can help people benefit from their shared management of a credit card account. It also helps lenders by providing scores that are based on a full snapshot of the consumer's credit history.
To protect lenders and honest consumers, the FICO 8 formula substantially reduces any benefit of so-called tradeline renting. That's a credit repair practice that entices consumers into being added to a stranger's credit account in order to misrepresent their credit risk to lenders.
Small-balance collections accounts
FICO 8 score ignores small-dollar "nuisance" collection accounts in which the original balance was less than $100.
And pizzadude knows his stuff. Don't compare apples to bowling balls. 
July 2013 score: EQ FICO 819, TU08 778, EX "806 lender pull 07/26/2013
Goal Score: All Scores 760+, Newest goal 800+
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Current scores after adding $81K in CLs and 2 new cars since July 2013
EQ:809 TU 777 EX 790 Now it's just garden time!
June 2017 update: All scores over 820, just pure gardening now.
