What is the Greatest Common Factor of 48954 and 48972?

Greatest common factor (GCF) of 48954 and 48972 is 6.

GCF(48954,48972) = 6

We will now calculate the prime factors of 48954 and 48972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48954 and 48972.

How to find the GCF of 48954 and 48972?

We will first find the prime factorization of 48954 and 48972. After we will calculate the factors of 48954 and 48972 and find the biggest common factor number .

Step-1: Prime Factorization of 48954

Prime factors of 48954 are 2, 3, 41, 199. Prime factorization of 48954 in exponential form is:

48954 = 2¹ × 3¹ × 41¹ × 199¹

Step-2: 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-3: Factors of 48954

List of positive integer factors of 48954 that divides 48954 without a remainder.

1, 2, 3, 6, 41, 82, 123, 199, 246, 398, 597, 1194, 8159, 16318, 24477

Step-4: Factors of 48972

List of positive integer factors of 48972 that divides 48954 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48954 and 48972. The biggest common factor number is the GCF number.
So the greatest common factor 48954 and 48972 is 6.

Also check out the Least Common Multiple of 48954 and 48972