What is the Greatest Common Factor of 48972 and 48986?

Greatest common factor (GCF) of 48972 and 48986 is 14.

GCF(48972,48986) = 14

We will now calculate the prime factors of 48972 and 48986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48972 and 48986.

How to find the GCF of 48972 and 48986?

We will first find the prime factorization of 48972 and 48986. After we will calculate the factors of 48972 and 48986 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 48986

Prime factors of 48986 are 2, 7, 3499. Prime factorization of 48986 in exponential form is:

48986 = 2¹ × 7¹ × 3499¹

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 48986

List of positive integer factors of 48986 that divides 48972 without a remainder.

1, 2, 7, 14, 3499, 6998, 24493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48972 and 48986. The biggest common factor number is the GCF number.
So the greatest common factor 48972 and 48986 is 14.

Also check out the Least Common Multiple of 48972 and 48986