What is the Greatest Common Factor of 48972 and 48976?

Greatest common factor (GCF) of 48972 and 48976 is 4.

GCF(48972,48976) = 4

We will now calculate the prime factors of 48972 and 48976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48972 and 48976.

How to find the GCF of 48972 and 48976?

We will first find the prime factorization of 48972 and 48976. After we will calculate the factors of 48972 and 48976 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 48976

Prime factors of 48976 are 2, 3061. Prime factorization of 48976 in exponential form is:

48976 = 2⁴ × 3061¹

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 48976

List of positive integer factors of 48976 that divides 48972 without a remainder.

1, 2, 4, 8, 16, 3061, 6122, 12244, 24488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48972 and 48976. The biggest common factor number is the GCF number.
So the greatest common factor 48972 and 48976 is 4.

Also check out the Least Common Multiple of 48972 and 48976