What is the Greatest Common Factor of 48972 and 48990?

Greatest common factor (GCF) of 48972 and 48990 is 6.

GCF(48972,48990) = 6

We will now calculate the prime factors of 48972 and 48990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48972 and 48990.

How to find the GCF of 48972 and 48990?

We will first find the prime factorization of 48972 and 48990. After we will calculate the factors of 48972 and 48990 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 48990

Prime factors of 48990 are 2, 3, 5, 23, 71. Prime factorization of 48990 in exponential form is:

48990 = 2¹ × 3¹ × 5¹ × 23¹ × 71¹

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 48990

List of positive integer factors of 48990 that divides 48972 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 71, 115, 138, 142, 213, 230, 345, 355, 426, 690, 710, 1065, 1633, 2130, 3266, 4899, 8165, 9798, 16330, 24495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48972 and 48990. The biggest common factor number is the GCF number.
So the greatest common factor 48972 and 48990 is 6.

Also check out the Least Common Multiple of 48972 and 48990