What is the Greatest Common Factor of 54684 and 54688?

Greatest common factor (GCF) of 54684 and 54688 is 4.

GCF(54684,54688) = 4

We will now calculate the prime factors of 54684 and 54688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54684 and 54688.

How to find the GCF of 54684 and 54688?

We will first find the prime factorization of 54684 and 54688. After we will calculate the factors of 54684 and 54688 and find the biggest common factor number .

Step-1: Prime Factorization of 54684

Prime factors of 54684 are 2, 3, 7, 31. Prime factorization of 54684 in exponential form is:

54684 = 2² × 3² × 7² × 31¹

Step-2: Prime Factorization of 54688

Prime factors of 54688 are 2, 1709. Prime factorization of 54688 in exponential form is:

54688 = 2⁵ × 1709¹

Step-3: Factors of 54684

List of positive integer factors of 54684 that divides 54684 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 49, 62, 63, 84, 93, 98, 124, 126, 147, 186, 196, 217, 252, 279, 294, 372, 434, 441, 558, 588, 651, 868, 882, 1116, 1302, 1519, 1764, 1953, 2604, 3038, 3906, 4557, 6076, 7812, 9114, 13671, 18228, 27342

Step-4: Factors of 54688

List of positive integer factors of 54688 that divides 54684 without a remainder.

1, 2, 4, 8, 16, 32, 1709, 3418, 6836, 13672, 27344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54684 and 54688. The biggest common factor number is the GCF number.
So the greatest common factor 54684 and 54688 is 4.

Also check out the Least Common Multiple of 54684 and 54688