What is the Greatest Common Factor of 55564 and 55584?

Greatest common factor (GCF) of 55564 and 55584 is 4.

GCF(55564,55584) = 4

We will now calculate the prime factors of 55564 and 55584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55564 and 55584.

How to find the GCF of 55564 and 55584?

We will first find the prime factorization of 55564 and 55584. After we will calculate the factors of 55564 and 55584 and find the biggest common factor number .

Step-1: Prime Factorization of 55564

Prime factors of 55564 are 2, 29, 479. Prime factorization of 55564 in exponential form is:

55564 = 2² × 29¹ × 479¹

Step-2: Prime Factorization of 55584

Prime factors of 55584 are 2, 3, 193. Prime factorization of 55584 in exponential form is:

55584 = 2⁵ × 3² × 193¹

Step-3: Factors of 55564

List of positive integer factors of 55564 that divides 55564 without a remainder.

1, 2, 4, 29, 58, 116, 479, 958, 1916, 13891, 27782

Step-4: Factors of 55584

List of positive integer factors of 55584 that divides 55564 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 193, 288, 386, 579, 772, 1158, 1544, 1737, 2316, 3088, 3474, 4632, 6176, 6948, 9264, 13896, 18528, 27792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55564 and 55584. The biggest common factor number is the GCF number.
So the greatest common factor 55564 and 55584 is 4.

Also check out the Least Common Multiple of 55564 and 55584