What is the Greatest Common Factor of 48756 and 48771?

Greatest common factor (GCF) of 48756 and 48771 is 3.

GCF(48756,48771) = 3

We will now calculate the prime factors of 48756 and 48771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48756 and 48771.

How to find the GCF of 48756 and 48771?

We will first find the prime factorization of 48756 and 48771. After we will calculate the factors of 48756 and 48771 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 48771

Prime factors of 48771 are 3, 5419. Prime factorization of 48771 in exponential form is:

48771 = 3² × 5419¹

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 48771

List of positive integer factors of 48771 that divides 48756 without a remainder.

1, 3, 9, 5419, 16257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48756 and 48771. The biggest common factor number is the GCF number.
So the greatest common factor 48756 and 48771 is 3.

Also check out the Least Common Multiple of 48756 and 48771