What is the Greatest Common Factor of 55368 and 55379?

Greatest common factor (GCF) of 55368 and 55379 is 1.

GCF(55368,55379) = 1

We will now calculate the prime factors of 55368 and 55379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55368 and 55379.

How to find the GCF of 55368 and 55379?

We will first find the prime factorization of 55368 and 55379. After we will calculate the factors of 55368 and 55379 and find the biggest common factor number .

Step-1: Prime Factorization of 55368

Prime factors of 55368 are 2, 3, 769. Prime factorization of 55368 in exponential form is:

55368 = 2³ × 3² × 769¹

Step-2: Prime Factorization of 55379

Prime factors of 55379 are 79, 701. Prime factorization of 55379 in exponential form is:

55379 = 79¹ × 701¹

Step-3: Factors of 55368

List of positive integer factors of 55368 that divides 55368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 769, 1538, 2307, 3076, 4614, 6152, 6921, 9228, 13842, 18456, 27684

Step-4: Factors of 55379

List of positive integer factors of 55379 that divides 55368 without a remainder.

1, 79, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55368 and 55379. The biggest common factor number is the GCF number.
So the greatest common factor 55368 and 55379 is 1.

Also check out the Least Common Multiple of 55368 and 55379