What is the Greatest Common Factor of 48756 and 48764?

Greatest common factor (GCF) of 48756 and 48764 is 4.

GCF(48756,48764) = 4

We will now calculate the prime factors of 48756 and 48764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48756 and 48764.

How to find the GCF of 48756 and 48764?

We will first find the prime factorization of 48756 and 48764. After we will calculate the factors of 48756 and 48764 and find the biggest common factor number .

Step-1: Prime Factorization of 48756

Prime factors of 48756 are 2, 3, 17, 239. Prime factorization of 48756 in exponential form is:

48756 = 2² × 3¹ × 17¹ × 239¹

Step-2: Prime Factorization of 48764

Prime factors of 48764 are 2, 73, 167. Prime factorization of 48764 in exponential form is:

48764 = 2² × 73¹ × 167¹

Step-3: Factors of 48756

List of positive integer factors of 48756 that divides 48756 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 239, 478, 717, 956, 1434, 2868, 4063, 8126, 12189, 16252, 24378

Step-4: Factors of 48764

List of positive integer factors of 48764 that divides 48756 without a remainder.

1, 2, 4, 73, 146, 167, 292, 334, 668, 12191, 24382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48756 and 48764. The biggest common factor number is the GCF number.
So the greatest common factor 48756 and 48764 is 4.

Also check out the Least Common Multiple of 48756 and 48764