What is the Greatest Common Factor of 48972 and 48984?

Greatest common factor (GCF) of 48972 and 48984 is 12.

GCF(48972,48984) = 12

We will now calculate the prime factors of 48972 and 48984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48972 and 48984.

How to find the GCF of 48972 and 48984?

We will first find the prime factorization of 48972 and 48984. After we will calculate the factors of 48972 and 48984 and find the biggest common factor number .

Step-1: Prime Factorization of 48972

Prime factors of 48972 are 2, 3, 7, 11, 53. Prime factorization of 48972 in exponential form is:

48972 = 2² × 3¹ × 7¹ × 11¹ × 53¹

Step-2: Prime Factorization of 48984

Prime factors of 48984 are 2, 3, 13, 157. Prime factorization of 48984 in exponential form is:

48984 = 2³ × 3¹ × 13¹ × 157¹

Step-3: Factors of 48972

List of positive integer factors of 48972 that divides 48972 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 53, 66, 77, 84, 106, 132, 154, 159, 212, 231, 308, 318, 371, 462, 583, 636, 742, 924, 1113, 1166, 1484, 1749, 2226, 2332, 3498, 4081, 4452, 6996, 8162, 12243, 16324, 24486

Step-4: Factors of 48984

List of positive integer factors of 48984 that divides 48972 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 157, 312, 314, 471, 628, 942, 1256, 1884, 2041, 3768, 4082, 6123, 8164, 12246, 16328, 24492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48972 and 48984. The biggest common factor number is the GCF number.
So the greatest common factor 48972 and 48984 is 12.

Also check out the Least Common Multiple of 48972 and 48984