What is the Greatest Common Factor of 55564 and 55579?

Greatest common factor (GCF) of 55564 and 55579 is 1.

GCF(55564,55579) = 1

We will now calculate the prime factors of 55564 and 55579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55564 and 55579.

How to find the GCF of 55564 and 55579?

We will first find the prime factorization of 55564 and 55579. After we will calculate the factors of 55564 and 55579 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 55579

Prime factors of 55579 are 55579. Prime factorization of 55579 in exponential form is:

55579 = 55579¹

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 55579

List of positive integer factors of 55579 that divides 55564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55564 and 55579. The biggest common factor number is the GCF number.
So the greatest common factor 55564 and 55579 is 1.

Also check out the Least Common Multiple of 55564 and 55579