What is the Greatest Common Factor of 55564 and 55574?

Greatest common factor (GCF) of 55564 and 55574 is 2.

GCF(55564,55574) = 2

We will now calculate the prime factors of 55564 and 55574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55564 and 55574.

How to find the GCF of 55564 and 55574?

We will first find the prime factorization of 55564 and 55574. After we will calculate the factors of 55564 and 55574 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 55574

Prime factors of 55574 are 2, 37, 751. Prime factorization of 55574 in exponential form is:

55574 = 2¹ × 37¹ × 751¹

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 55574

List of positive integer factors of 55574 that divides 55564 without a remainder.

1, 2, 37, 74, 751, 1502, 27787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55564 and 55574. The biggest common factor number is the GCF number.
So the greatest common factor 55564 and 55574 is 2.

Also check out the Least Common Multiple of 55564 and 55574