What is the Greatest Common Factor of 55628 and 55640?

Greatest common factor (GCF) of 55628 and 55640 is 4.

GCF(55628,55640) = 4

We will now calculate the prime factors of 55628 and 55640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55628 and 55640.

How to find the GCF of 55628 and 55640?

We will first find the prime factorization of 55628 and 55640. After we will calculate the factors of 55628 and 55640 and find the biggest common factor number .

Step-1: Prime Factorization of 55628

Prime factors of 55628 are 2, 13907. Prime factorization of 55628 in exponential form is:

55628 = 2² × 13907¹

Step-2: Prime Factorization of 55640

Prime factors of 55640 are 2, 5, 13, 107. Prime factorization of 55640 in exponential form is:

55640 = 2³ × 5¹ × 13¹ × 107¹

Step-3: Factors of 55628

List of positive integer factors of 55628 that divides 55628 without a remainder.

1, 2, 4, 13907, 27814

Step-4: Factors of 55640

List of positive integer factors of 55640 that divides 55628 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 107, 130, 214, 260, 428, 520, 535, 856, 1070, 1391, 2140, 2782, 4280, 5564, 6955, 11128, 13910, 27820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55628 and 55640. The biggest common factor number is the GCF number.
So the greatest common factor 55628 and 55640 is 4.

Also check out the Least Common Multiple of 55628 and 55640