What is the Greatest Common Factor of 74524 and 74528?

Greatest common factor (GCF) of 74524 and 74528 is 4.

GCF(74524,74528) = 4

We will now calculate the prime factors of 74524 and 74528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74524 and 74528.

How to find the GCF of 74524 and 74528?

We will first find the prime factorization of 74524 and 74528. After we will calculate the factors of 74524 and 74528 and find the biggest common factor number .

Step-1: Prime Factorization of 74524

Prime factors of 74524 are 2, 31, 601. Prime factorization of 74524 in exponential form is:

74524 = 2² × 31¹ × 601¹

Step-2: Prime Factorization of 74528

Prime factors of 74528 are 2, 17, 137. Prime factorization of 74528 in exponential form is:

74528 = 2⁵ × 17¹ × 137¹

Step-3: Factors of 74524

List of positive integer factors of 74524 that divides 74524 without a remainder.

1, 2, 4, 31, 62, 124, 601, 1202, 2404, 18631, 37262

Step-4: Factors of 74528

List of positive integer factors of 74528 that divides 74524 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 137, 272, 274, 544, 548, 1096, 2192, 2329, 4384, 4658, 9316, 18632, 37264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74524 and 74528. The biggest common factor number is the GCF number.
So the greatest common factor 74524 and 74528 is 4.

Also check out the Least Common Multiple of 74524 and 74528