4; the prime factorization of 24= 2x2x2x3, 44=2x2x11, 52=2x2x13. the factors that they have in common are 2x2=4 or 4; the factors of 24 are 1,2,3,4,6,8,12,24. 44 are 1,2,4,11,22,44. 52 are 1,2,4,13,26,52. the greatest factor that they all have in common is 4.
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers. The greatest common factor of 24 and 52 is 4