What is the Greatest Common Factor of 54684 and 54699?

Greatest common factor (GCF) of 54684 and 54699 is 3.

GCF(54684,54699) = 3

We will now calculate the prime factors of 54684 and 54699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54684 and 54699.

How to find the GCF of 54684 and 54699?

We will first find the prime factorization of 54684 and 54699. After we will calculate the factors of 54684 and 54699 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 54699

Prime factors of 54699 are 3, 18233. Prime factorization of 54699 in exponential form is:

54699 = 3¹ × 18233¹

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 54699

List of positive integer factors of 54699 that divides 54684 without a remainder.

1, 3, 18233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54684 and 54699. The biggest common factor number is the GCF number.
So the greatest common factor 54684 and 54699 is 3.

Also check out the Least Common Multiple of 54684 and 54699