What is the Greatest Common Factor of 55240 and 55256?

Greatest common factor (GCF) of 55240 and 55256 is 8.

GCF(55240,55256) = 8

We will now calculate the prime factors of 55240 and 55256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55240 and 55256.

How to find the GCF of 55240 and 55256?

We will first find the prime factorization of 55240 and 55256. After we will calculate the factors of 55240 and 55256 and find the biggest common factor number .

Step-1: Prime Factorization of 55240

Prime factors of 55240 are 2, 5, 1381. Prime factorization of 55240 in exponential form is:

55240 = 2³ × 5¹ × 1381¹

Step-2: Prime Factorization of 55256

Prime factors of 55256 are 2, 6907. Prime factorization of 55256 in exponential form is:

55256 = 2³ × 6907¹

Step-3: Factors of 55240

List of positive integer factors of 55240 that divides 55240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1381, 2762, 5524, 6905, 11048, 13810, 27620

Step-4: Factors of 55256

List of positive integer factors of 55256 that divides 55240 without a remainder.

1, 2, 4, 8, 6907, 13814, 27628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55240 and 55256. The biggest common factor number is the GCF number.
So the greatest common factor 55240 and 55256 is 8.

Also check out the Least Common Multiple of 55240 and 55256