What is the Greatest Common Factor of 74508 and 74528?

Greatest common factor (GCF) of 74508 and 74528 is 4.

GCF(74508,74528) = 4

We will now calculate the prime factors of 74508 and 74528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74508 and 74528.

How to find the GCF of 74508 and 74528?

We will first find the prime factorization of 74508 and 74528. After we will calculate the factors of 74508 and 74528 and find the biggest common factor number .

Step-1: Prime Factorization of 74508

Prime factors of 74508 are 2, 3, 7, 887. Prime factorization of 74508 in exponential form is:

74508 = 2² × 3¹ × 7¹ × 887¹

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 74508

List of positive integer factors of 74508 that divides 74508 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 887, 1774, 2661, 3548, 5322, 6209, 10644, 12418, 18627, 24836, 37254

Step-4: Factors of 74528

List of positive integer factors of 74528 that divides 74508 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 74508 and 74528. The biggest common factor number is the GCF number.
So the greatest common factor 74508 and 74528 is 4.

Also check out the Least Common Multiple of 74508 and 74528