What is the Greatest Common Factor of 48756 and 48772?

Greatest common factor (GCF) of 48756 and 48772 is 4.

GCF(48756,48772) = 4

We will now calculate the prime factors of 48756 and 48772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48756 and 48772.

How to find the GCF of 48756 and 48772?

We will first find the prime factorization of 48756 and 48772. After we will calculate the factors of 48756 and 48772 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 48772

Prime factors of 48772 are 2, 89, 137. Prime factorization of 48772 in exponential form is:

48772 = 2² × 89¹ × 137¹

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 48772

List of positive integer factors of 48772 that divides 48756 without a remainder.

1, 2, 4, 89, 137, 178, 274, 356, 548, 12193, 24386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48756 and 48772. The biggest common factor number is the GCF number.
So the greatest common factor 48756 and 48772 is 4.

Also check out the Least Common Multiple of 48756 and 48772