What is the Greatest Common Factor of 55564 and 55568?

Greatest common factor (GCF) of 55564 and 55568 is 4.

GCF(55564,55568) = 4

We will now calculate the prime factors of 55564 and 55568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55564 and 55568.

How to find the GCF of 55564 and 55568?

We will first find the prime factorization of 55564 and 55568. After we will calculate the factors of 55564 and 55568 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 55568

Prime factors of 55568 are 2, 23, 151. Prime factorization of 55568 in exponential form is:

55568 = 2⁴ × 23¹ × 151¹

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 55568

List of positive integer factors of 55568 that divides 55564 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 151, 184, 302, 368, 604, 1208, 2416, 3473, 6946, 13892, 27784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55564 and 55568. The biggest common factor number is the GCF number.
So the greatest common factor 55564 and 55568 is 4.

Also check out the Least Common Multiple of 55564 and 55568