What is the Greatest Common Factor of 54508 and 54528?

Greatest common factor (GCF) of 54508 and 54528 is 4.

GCF(54508,54528) = 4

We will now calculate the prime factors of 54508 and 54528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54508 and 54528.

How to find the GCF of 54508 and 54528?

We will first find the prime factorization of 54508 and 54528. After we will calculate the factors of 54508 and 54528 and find the biggest common factor number .

Step-1: Prime Factorization of 54508

Prime factors of 54508 are 2, 13627. Prime factorization of 54508 in exponential form is:

54508 = 2² × 13627¹

Step-2: 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-3: Factors of 54508

List of positive integer factors of 54508 that divides 54508 without a remainder.

1, 2, 4, 13627, 27254

Step-4: Factors of 54528

List of positive integer factors of 54528 that divides 54508 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54508 and 54528. The biggest common factor number is the GCF number.
So the greatest common factor 54508 and 54528 is 4.

Also check out the Least Common Multiple of 54508 and 54528