What is the Greatest Common Factor of 56080 and 56090?

Greatest common factor (GCF) of 56080 and 56090 is 10.

GCF(56080,56090) = 10

We will now calculate the prime factors of 56080 and 56090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56080 and 56090.

How to find the GCF of 56080 and 56090?

We will first find the prime factorization of 56080 and 56090. After we will calculate the factors of 56080 and 56090 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 56090

Prime factors of 56090 are 2, 5, 71, 79. Prime factorization of 56090 in exponential form is:

56090 = 2¹ × 5¹ × 71¹ × 79¹

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 56090

List of positive integer factors of 56090 that divides 56080 without a remainder.

1, 2, 5, 10, 71, 79, 142, 158, 355, 395, 710, 790, 5609, 11218, 28045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56080 and 56090. The biggest common factor number is the GCF number.
So the greatest common factor 56080 and 56090 is 10.

Also check out the Least Common Multiple of 56080 and 56090