What is the Greatest Common Factor of 55360 and 55379?

Greatest common factor (GCF) of 55360 and 55379 is 1.

GCF(55360,55379) = 1

We will now calculate the prime factors of 55360 and 55379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55360 and 55379.

How to find the GCF of 55360 and 55379?

We will first find the prime factorization of 55360 and 55379. After we will calculate the factors of 55360 and 55379 and find the biggest common factor number .

Step-1: Prime Factorization of 55360

Prime factors of 55360 are 2, 5, 173. Prime factorization of 55360 in exponential form is:

55360 = 2⁶ × 5¹ × 173¹

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 55360

List of positive integer factors of 55360 that divides 55360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 173, 320, 346, 692, 865, 1384, 1730, 2768, 3460, 5536, 6920, 11072, 13840, 27680

Step-4: Factors of 55379

List of positive integer factors of 55379 that divides 55360 without a remainder.

1, 79, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55360 and 55379. The biggest common factor number is the GCF number.
So the greatest common factor 55360 and 55379 is 1.

Also check out the Least Common Multiple of 55360 and 55379