What is the Greatest Common Factor of 56080 and 56095?

Greatest common factor (GCF) of 56080 and 56095 is 5.

GCF(56080,56095) = 5

We will now calculate the prime factors of 56080 and 56095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56080 and 56095.

How to find the GCF of 56080 and 56095?

We will first find the prime factorization of 56080 and 56095. After we will calculate the factors of 56080 and 56095 and find the biggest common factor number .

Step-1: Prime Factorization of 56080

Prime factors of 56080 are 2, 5, 701. Prime factorization of 56080 in exponential form is:

56080 = 2⁴ × 5¹ × 701¹

Step-2: Prime Factorization of 56095

Prime factors of 56095 are 5, 13, 863. Prime factorization of 56095 in exponential form is:

56095 = 5¹ × 13¹ × 863¹

Step-3: Factors of 56080

List of positive integer factors of 56080 that divides 56080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 701, 1402, 2804, 3505, 5608, 7010, 11216, 14020, 28040

Step-4: Factors of 56095

List of positive integer factors of 56095 that divides 56080 without a remainder.

1, 5, 13, 65, 863, 4315, 11219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56080 and 56095. The biggest common factor number is the GCF number.
So the greatest common factor 56080 and 56095 is 5.

Also check out the Least Common Multiple of 56080 and 56095