The greatest common factor is the greatest number that divides both numbers.
The given numbers are 574 and 532.
First, let's decompose each number into their prime factors.
574 | 2
287 | 7
41 | 41
1
574 = 2*7*41
532 | 2
266 | 2
133 | 7
19 | 19
1
532 = 2*2*7*19
As you can observe, the common factors are 2 and 7, so the greatest common factor is 14 since that's the product between 2 and 7.
Therefore, the greatest common factor between 574 and 532 is 14.