What is the Greatest Common Factor of 55256 and 55264?

Greatest common factor (GCF) of 55256 and 55264 is 8.

GCF(55256,55264) = 8

We will now calculate the prime factors of 55256 and 55264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55256 and 55264.

How to find the GCF of 55256 and 55264?

We will first find the prime factorization of 55256 and 55264. After we will calculate the factors of 55256 and 55264 and find the biggest common factor number .

Step-1: Prime Factorization of 55256

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

55256 = 2³ × 6907¹

Step-2: Prime Factorization of 55264

Prime factors of 55264 are 2, 11, 157. Prime factorization of 55264 in exponential form is:

55264 = 2⁵ × 11¹ × 157¹

Step-3: Factors of 55256

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

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

Step-4: Factors of 55264

List of positive integer factors of 55264 that divides 55256 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 157, 176, 314, 352, 628, 1256, 1727, 2512, 3454, 5024, 6908, 13816, 27632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55256 and 55264. The biggest common factor number is the GCF number.
So the greatest common factor 55256 and 55264 is 8.

Also check out the Least Common Multiple of 55256 and 55264