What is the Greatest Common Factor of 54684 and 54704?

Greatest common factor (GCF) of 54684 and 54704 is 4.

GCF(54684,54704) = 4

We will now calculate the prime factors of 54684 and 54704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54684 and 54704.

How to find the GCF of 54684 and 54704?

We will first find the prime factorization of 54684 and 54704. After we will calculate the factors of 54684 and 54704 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 54704

Prime factors of 54704 are 2, 13, 263. Prime factorization of 54704 in exponential form is:

54704 = 2⁴ × 13¹ × 263¹

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 54704

List of positive integer factors of 54704 that divides 54684 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 263, 526, 1052, 2104, 3419, 4208, 6838, 13676, 27352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54684 and 54704. The biggest common factor number is the GCF number.
So the greatest common factor 54684 and 54704 is 4.

Also check out the Least Common Multiple of 54684 and 54704