What is the Greatest Common Factor of 71790 and 71810?

Greatest common factor (GCF) of 71790 and 71810 is 10.

GCF(71790,71810) = 10

We will now calculate the prime factors of 71790 and 71810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71790 and 71810.

How to find the GCF of 71790 and 71810?

We will first find the prime factorization of 71790 and 71810. After we will calculate the factors of 71790 and 71810 and find the biggest common factor number .

Step-1: Prime Factorization of 71790

Prime factors of 71790 are 2, 3, 5, 2393. Prime factorization of 71790 in exponential form is:

71790 = 2¹ × 3¹ × 5¹ × 2393¹

Step-2: Prime Factorization of 71810

Prime factors of 71810 are 2, 5, 43, 167. Prime factorization of 71810 in exponential form is:

71810 = 2¹ × 5¹ × 43¹ × 167¹

Step-3: Factors of 71790

List of positive integer factors of 71790 that divides 71790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2393, 4786, 7179, 11965, 14358, 23930, 35895

Step-4: Factors of 71810

List of positive integer factors of 71810 that divides 71790 without a remainder.

1, 2, 5, 10, 43, 86, 167, 215, 334, 430, 835, 1670, 7181, 14362, 35905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71790 and 71810. The biggest common factor number is the GCF number.
So the greatest common factor 71790 and 71810 is 10.

Also check out the Least Common Multiple of 71790 and 71810