What is the Greatest Common Factor of 54240 and 54252?

Greatest common factor (GCF) of 54240 and 54252 is 12.

GCF(54240,54252) = 12

We will now calculate the prime factors of 54240 and 54252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54240 and 54252.

How to find the GCF of 54240 and 54252?

We will first find the prime factorization of 54240 and 54252. After we will calculate the factors of 54240 and 54252 and find the biggest common factor number .

Step-1: Prime Factorization of 54240

Prime factors of 54240 are 2, 3, 5, 113. Prime factorization of 54240 in exponential form is:

54240 = 2⁵ × 3¹ × 5¹ × 113¹

Step-2: 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-3: Factors of 54240

List of positive integer factors of 54240 that divides 54240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 113, 120, 160, 226, 240, 339, 452, 480, 565, 678, 904, 1130, 1356, 1695, 1808, 2260, 2712, 3390, 3616, 4520, 5424, 6780, 9040, 10848, 13560, 18080, 27120

Step-4: Factors of 54252

List of positive integer factors of 54252 that divides 54240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54240 and 54252. The biggest common factor number is the GCF number.
So the greatest common factor 54240 and 54252 is 12.

Also check out the Least Common Multiple of 54240 and 54252