What is the Greatest Common Factor of 56090 and 56110?

Greatest common factor (GCF) of 56090 and 56110 is 10.

GCF(56090,56110) = 10

We will now calculate the prime factors of 56090 and 56110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56090 and 56110.

How to find the GCF of 56090 and 56110?

We will first find the prime factorization of 56090 and 56110. After we will calculate the factors of 56090 and 56110 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56110

Prime factors of 56110 are 2, 5, 31, 181. Prime factorization of 56110 in exponential form is:

56110 = 2¹ × 5¹ × 31¹ × 181¹

Step-3: Factors of 56090

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

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

Step-4: Factors of 56110

List of positive integer factors of 56110 that divides 56090 without a remainder.

1, 2, 5, 10, 31, 62, 155, 181, 310, 362, 905, 1810, 5611, 11222, 28055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56090 and 56110. The biggest common factor number is the GCF number.
So the greatest common factor 56090 and 56110 is 10.

Also check out the Least Common Multiple of 56090 and 56110