What is the Greatest Common Factor of 54972 and 54984?

Greatest common factor (GCF) of 54972 and 54984 is 12.

GCF(54972,54984) = 12

We will now calculate the prime factors of 54972 and 54984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54972 and 54984.

How to find the GCF of 54972 and 54984?

We will first find the prime factorization of 54972 and 54984. After we will calculate the factors of 54972 and 54984 and find the biggest common factor number .

Step-1: Prime Factorization of 54972

Prime factors of 54972 are 2, 3, 509. Prime factorization of 54972 in exponential form is:

54972 = 2² × 3³ × 509¹

Step-2: 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-3: Factors of 54972

List of positive integer factors of 54972 that divides 54972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 509, 1018, 1527, 2036, 3054, 4581, 6108, 9162, 13743, 18324, 27486

Step-4: Factors of 54984

List of positive integer factors of 54984 that divides 54972 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54972 and 54984. The biggest common factor number is the GCF number.
So the greatest common factor 54972 and 54984 is 12.

Also check out the Least Common Multiple of 54972 and 54984