What is the Greatest Common Factor of 55544 and 55564?

Greatest common factor (GCF) of 55544 and 55564 is 4.

GCF(55544,55564) = 4

We will now calculate the prime factors of 55544 and 55564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55544 and 55564.

How to find the GCF of 55544 and 55564?

We will first find the prime factorization of 55544 and 55564. After we will calculate the factors of 55544 and 55564 and find the biggest common factor number .

Step-1: Prime Factorization of 55544

Prime factors of 55544 are 2, 53, 131. Prime factorization of 55544 in exponential form is:

55544 = 2³ × 53¹ × 131¹

Step-2: 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-3: Factors of 55544

List of positive integer factors of 55544 that divides 55544 without a remainder.

1, 2, 4, 8, 53, 106, 131, 212, 262, 424, 524, 1048, 6943, 13886, 27772

Step-4: Factors of 55564

List of positive integer factors of 55564 that divides 55544 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55544 and 55564. The biggest common factor number is the GCF number.
So the greatest common factor 55544 and 55564 is 4.

Also check out the Least Common Multiple of 55544 and 55564