What is the Greatest Common Factor of 54528 and 54540?

Greatest common factor (GCF) of 54528 and 54540 is 12.

GCF(54528,54540) = 12

We will now calculate the prime factors of 54528 and 54540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54528 and 54540.

How to find the GCF of 54528 and 54540?

We will first find the prime factorization of 54528 and 54540. After we will calculate the factors of 54528 and 54540 and find the biggest common factor number .

Step-1: Prime Factorization of 54528

Prime factors of 54528 are 2, 3, 71. Prime factorization of 54528 in exponential form is:

54528 = 2⁸ × 3¹ × 71¹

Step-2: Prime Factorization of 54540

Prime factors of 54540 are 2, 3, 5, 101. Prime factorization of 54540 in exponential form is:

54540 = 2² × 3³ × 5¹ × 101¹

Step-3: Factors of 54528

List of positive integer factors of 54528 that divides 54528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 71, 96, 128, 142, 192, 213, 256, 284, 384, 426, 568, 768, 852, 1136, 1704, 2272, 3408, 4544, 6816, 9088, 13632, 18176, 27264

Step-4: Factors of 54540

List of positive integer factors of 54540 that divides 54528 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 101, 108, 135, 180, 202, 270, 303, 404, 505, 540, 606, 909, 1010, 1212, 1515, 1818, 2020, 2727, 3030, 3636, 4545, 5454, 6060, 9090, 10908, 13635, 18180, 27270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54528 and 54540. The biggest common factor number is the GCF number.
So the greatest common factor 54528 and 54540 is 12.

Also check out the Least Common Multiple of 54528 and 54540