What is the Greatest Common Factor of 48972 and 48983?

Greatest common factor (GCF) of 48972 and 48983 is 11.

GCF(48972,48983) = 11

We will now calculate the prime factors of 48972 and 48983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48972 and 48983.

How to find the GCF of 48972 and 48983?

We will first find the prime factorization of 48972 and 48983. After we will calculate the factors of 48972 and 48983 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 48983

Prime factors of 48983 are 11, 61, 73. Prime factorization of 48983 in exponential form is:

48983 = 11¹ × 61¹ × 73¹

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 48983

List of positive integer factors of 48983 that divides 48972 without a remainder.

1, 11, 61, 73, 671, 803, 4453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48972 and 48983. The biggest common factor number is the GCF number.
So the greatest common factor 48972 and 48983 is 11.

Also check out the Least Common Multiple of 48972 and 48983