What is the Greatest Common Factor of 54665 and 54684?

Greatest common factor (GCF) of 54665 and 54684 is 1.

GCF(54665,54684) = 1

We will now calculate the prime factors of 54665 and 54684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54665 and 54684.

How to find the GCF of 54665 and 54684?

We will first find the prime factorization of 54665 and 54684. After we will calculate the factors of 54665 and 54684 and find the biggest common factor number .

Step-1: Prime Factorization of 54665

Prime factors of 54665 are 5, 13, 29. Prime factorization of 54665 in exponential form is:

54665 = 5¹ × 13¹ × 29²

Step-2: 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-3: Factors of 54665

List of positive integer factors of 54665 that divides 54665 without a remainder.

1, 5, 13, 29, 65, 145, 377, 841, 1885, 4205, 10933

Step-4: Factors of 54684

List of positive integer factors of 54684 that divides 54665 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54665 and 54684. The biggest common factor number is the GCF number.
So the greatest common factor 54665 and 54684 is 1.

Also check out the Least Common Multiple of 54665 and 54684