What is the Greatest Common Factor of 48657 and 48672?

Greatest common factor (GCF) of 48657 and 48672 is 3.

GCF(48657,48672) = 3

We will now calculate the prime factors of 48657 and 48672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48657 and 48672.

How to find the GCF of 48657 and 48672?

We will first find the prime factorization of 48657 and 48672. After we will calculate the factors of 48657 and 48672 and find the biggest common factor number .

Step-1: Prime Factorization of 48657

Prime factors of 48657 are 3, 7, 331. Prime factorization of 48657 in exponential form is:

48657 = 3¹ × 7² × 331¹

Step-2: Prime Factorization of 48672

Prime factors of 48672 are 2, 3, 13. Prime factorization of 48672 in exponential form is:

48672 = 2⁵ × 3² × 13²

Step-3: Factors of 48657

List of positive integer factors of 48657 that divides 48657 without a remainder.

1, 3, 7, 21, 49, 147, 331, 993, 2317, 6951, 16219

Step-4: Factors of 48672

List of positive integer factors of 48672 that divides 48657 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 169, 208, 234, 288, 312, 338, 416, 468, 507, 624, 676, 936, 1014, 1248, 1352, 1521, 1872, 2028, 2704, 3042, 3744, 4056, 5408, 6084, 8112, 12168, 16224, 24336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48657 and 48672. The biggest common factor number is the GCF number.
So the greatest common factor 48657 and 48672 is 3.

Also check out the Least Common Multiple of 48657 and 48672