What is the Greatest Common Factor of 49596 and 49612?

Greatest common factor (GCF) of 49596 and 49612 is 4.

GCF(49596,49612) = 4

We will now calculate the prime factors of 49596 and 49612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49596 and 49612.

How to find the GCF of 49596 and 49612?

We will first find the prime factorization of 49596 and 49612. After we will calculate the factors of 49596 and 49612 and find the biggest common factor number .

Step-1: Prime Factorization of 49596

Prime factors of 49596 are 2, 3, 4133. Prime factorization of 49596 in exponential form is:

49596 = 2² × 3¹ × 4133¹

Step-2: Prime Factorization of 49612

Prime factors of 49612 are 2, 79, 157. Prime factorization of 49612 in exponential form is:

49612 = 2² × 79¹ × 157¹

Step-3: Factors of 49596

List of positive integer factors of 49596 that divides 49596 without a remainder.

1, 2, 3, 4, 6, 12, 4133, 8266, 12399, 16532, 24798

Step-4: Factors of 49612

List of positive integer factors of 49612 that divides 49596 without a remainder.

1, 2, 4, 79, 157, 158, 314, 316, 628, 12403, 24806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49596 and 49612. The biggest common factor number is the GCF number.
So the greatest common factor 49596 and 49612 is 4.

Also check out the Least Common Multiple of 49596 and 49612