What is the Greatest Common Factor of 62528 and 62532?

Greatest common factor (GCF) of 62528 and 62532 is 4.

GCF(62528,62532) = 4

We will now calculate the prime factors of 62528 and 62532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62528 and 62532.

How to find the GCF of 62528 and 62532?

We will first find the prime factorization of 62528 and 62532. After we will calculate the factors of 62528 and 62532 and find the biggest common factor number .

Step-1: Prime Factorization of 62528

Prime factors of 62528 are 2, 977. Prime factorization of 62528 in exponential form is:

62528 = 2⁶ × 977¹

Step-2: Prime Factorization of 62532

Prime factors of 62532 are 2, 3, 193. Prime factorization of 62532 in exponential form is:

62532 = 2² × 3⁴ × 193¹

Step-3: Factors of 62528

List of positive integer factors of 62528 that divides 62528 without a remainder.

1, 2, 4, 8, 16, 32, 64, 977, 1954, 3908, 7816, 15632, 31264

Step-4: Factors of 62532

List of positive integer factors of 62532 that divides 62528 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 193, 324, 386, 579, 772, 1158, 1737, 2316, 3474, 5211, 6948, 10422, 15633, 20844, 31266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62528 and 62532. The biggest common factor number is the GCF number.
So the greatest common factor 62528 and 62532 is 4.

Also check out the Least Common Multiple of 62528 and 62532