What is the Greatest Common Factor of 54956 and 54972?

Greatest common factor (GCF) of 54956 and 54972 is 4.

GCF(54956,54972) = 4

We will now calculate the prime factors of 54956 and 54972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54956 and 54972.

How to find the GCF of 54956 and 54972?

We will first find the prime factorization of 54956 and 54972. After we will calculate the factors of 54956 and 54972 and find the biggest common factor number .

Step-1: Prime Factorization of 54956

Prime factors of 54956 are 2, 11, 1249. Prime factorization of 54956 in exponential form is:

54956 = 2² × 11¹ × 1249¹

Step-2: 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-3: Factors of 54956

List of positive integer factors of 54956 that divides 54956 without a remainder.

1, 2, 4, 11, 22, 44, 1249, 2498, 4996, 13739, 27478

Step-4: Factors of 54972

List of positive integer factors of 54972 that divides 54956 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54956 and 54972. The biggest common factor number is the GCF number.
So the greatest common factor 54956 and 54972 is 4.

Also check out the Least Common Multiple of 54956 and 54972