What is the Greatest Common Factor of 54984 and 54996?

Greatest common factor (GCF) of 54984 and 54996 is 12.

GCF(54984,54996) = 12

We will now calculate the prime factors of 54984 and 54996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54984 and 54996.

How to find the GCF of 54984 and 54996?

We will first find the prime factorization of 54984 and 54996. After we will calculate the factors of 54984 and 54996 and find the biggest common factor number .

Step-1: Prime Factorization of 54984

Prime factors of 54984 are 2, 3, 29, 79. Prime factorization of 54984 in exponential form is:

54984 = 2³ × 3¹ × 29¹ × 79¹

Step-2: Prime Factorization of 54996

Prime factors of 54996 are 2, 3, 4583. Prime factorization of 54996 in exponential form is:

54996 = 2² × 3¹ × 4583¹

Step-3: Factors of 54984

List of positive integer factors of 54984 that divides 54984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 79, 87, 116, 158, 174, 232, 237, 316, 348, 474, 632, 696, 948, 1896, 2291, 4582, 6873, 9164, 13746, 18328, 27492

Step-4: Factors of 54996

List of positive integer factors of 54996 that divides 54984 without a remainder.

1, 2, 3, 4, 6, 12, 4583, 9166, 13749, 18332, 27498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54984 and 54996. The biggest common factor number is the GCF number.
So the greatest common factor 54984 and 54996 is 12.

Also check out the Least Common Multiple of 54984 and 54996