What is the Greatest Common Factor of 54252 and 54272?

Greatest common factor (GCF) of 54252 and 54272 is 4.

GCF(54252,54272) = 4

We will now calculate the prime factors of 54252 and 54272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54252 and 54272.

How to find the GCF of 54252 and 54272?

We will first find the prime factorization of 54252 and 54272. After we will calculate the factors of 54252 and 54272 and find the biggest common factor number .

Step-1: Prime Factorization of 54252

Prime factors of 54252 are 2, 3, 11, 137. Prime factorization of 54252 in exponential form is:

54252 = 2² × 3² × 11¹ × 137¹

Step-2: Prime Factorization of 54272

Prime factors of 54272 are 2, 53. Prime factorization of 54272 in exponential form is:

54272 = 2¹⁰ × 53¹

Step-3: Factors of 54252

List of positive integer factors of 54252 that divides 54252 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 137, 198, 274, 396, 411, 548, 822, 1233, 1507, 1644, 2466, 3014, 4521, 4932, 6028, 9042, 13563, 18084, 27126

Step-4: Factors of 54272

List of positive integer factors of 54272 that divides 54252 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 256, 424, 512, 848, 1024, 1696, 3392, 6784, 13568, 27136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54252 and 54272. The biggest common factor number is the GCF number.
So the greatest common factor 54252 and 54272 is 4.

Also check out the Least Common Multiple of 54252 and 54272