What is the Greatest Common Factor of 48736 and 48756?

Greatest common factor (GCF) of 48736 and 48756 is 4.

GCF(48736,48756) = 4

We will now calculate the prime factors of 48736 and 48756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48736 and 48756.

How to find the GCF of 48736 and 48756?

We will first find the prime factorization of 48736 and 48756. After we will calculate the factors of 48736 and 48756 and find the biggest common factor number .

Step-1: Prime Factorization of 48736

Prime factors of 48736 are 2, 1523. Prime factorization of 48736 in exponential form is:

48736 = 2⁵ × 1523¹

Step-2: 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-3: Factors of 48736

List of positive integer factors of 48736 that divides 48736 without a remainder.

1, 2, 4, 8, 16, 32, 1523, 3046, 6092, 12184, 24368

Step-4: Factors of 48756

List of positive integer factors of 48756 that divides 48736 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48736 and 48756. The biggest common factor number is the GCF number.
So the greatest common factor 48736 and 48756 is 4.

Also check out the Least Common Multiple of 48736 and 48756