What is the Greatest Common Factor of 48756 and 48760?

Greatest common factor (GCF) of 48756 and 48760 is 4.

GCF(48756,48760) = 4

We will now calculate the prime factors of 48756 and 48760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48756 and 48760.

How to find the GCF of 48756 and 48760?

We will first find the prime factorization of 48756 and 48760. After we will calculate the factors of 48756 and 48760 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 48760

Prime factors of 48760 are 2, 5, 23, 53. Prime factorization of 48760 in exponential form is:

48760 = 2³ × 5¹ × 23¹ × 53¹

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 48760

List of positive integer factors of 48760 that divides 48756 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 53, 92, 106, 115, 184, 212, 230, 265, 424, 460, 530, 920, 1060, 1219, 2120, 2438, 4876, 6095, 9752, 12190, 24380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48756 and 48760. The biggest common factor number is the GCF number.
So the greatest common factor 48756 and 48760 is 4.

Also check out the Least Common Multiple of 48756 and 48760