What is the Greatest Common Factor of 52608 and 52628?

Greatest common factor (GCF) of 52608 and 52628 is 4.

GCF(52608,52628) = 4

We will now calculate the prime factors of 52608 and 52628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52608 and 52628.

How to find the GCF of 52608 and 52628?

We will first find the prime factorization of 52608 and 52628. After we will calculate the factors of 52608 and 52628 and find the biggest common factor number .

Step-1: Prime Factorization of 52608

Prime factors of 52608 are 2, 3, 137. Prime factorization of 52608 in exponential form is:

52608 = 2⁷ × 3¹ × 137¹

Step-2: Prime Factorization of 52628

Prime factors of 52628 are 2, 59, 223. Prime factorization of 52628 in exponential form is:

52628 = 2² × 59¹ × 223¹

Step-3: Factors of 52608

List of positive integer factors of 52608 that divides 52608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 137, 192, 274, 384, 411, 548, 822, 1096, 1644, 2192, 3288, 4384, 6576, 8768, 13152, 17536, 26304

Step-4: Factors of 52628

List of positive integer factors of 52628 that divides 52608 without a remainder.

1, 2, 4, 59, 118, 223, 236, 446, 892, 13157, 26314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52608 and 52628. The biggest common factor number is the GCF number.
So the greatest common factor 52608 and 52628 is 4.

Also check out the Least Common Multiple of 52608 and 52628