What is the Greatest Common Factor of 71790 and 71807?

Greatest common factor (GCF) of 71790 and 71807 is 1.

GCF(71790,71807) = 1

We will now calculate the prime factors of 71790 and 71807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71790 and 71807.

How to find the GCF of 71790 and 71807?

We will first find the prime factorization of 71790 and 71807. After we will calculate the factors of 71790 and 71807 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 71807

Prime factors of 71807 are 71807. Prime factorization of 71807 in exponential form is:

71807 = 71807¹

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 71807

List of positive integer factors of 71807 that divides 71790 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71790 and 71807. The biggest common factor number is the GCF number.
So the greatest common factor 71790 and 71807 is 1.

Also check out the Least Common Multiple of 71790 and 71807