What is the Greatest Common Factor of 54252 and 54268?

Greatest common factor (GCF) of 54252 and 54268 is 4.

GCF(54252,54268) = 4

We will now calculate the prime factors of 54252 and 54268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54252 and 54268.

How to find the GCF of 54252 and 54268?

We will first find the prime factorization of 54252 and 54268. After we will calculate the factors of 54252 and 54268 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 54268

Prime factors of 54268 are 2, 13567. Prime factorization of 54268 in exponential form is:

54268 = 2² × 13567¹

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 54268

List of positive integer factors of 54268 that divides 54252 without a remainder.

1, 2, 4, 13567, 27134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54252 and 54268. The biggest common factor number is the GCF number.
So the greatest common factor 54252 and 54268 is 4.

Also check out the Least Common Multiple of 54252 and 54268