What is the Greatest Common Factor of 71790 and 71805?

Greatest common factor (GCF) of 71790 and 71805 is 15.

GCF(71790,71805) = 15

We will now calculate the prime factors of 71790 and 71805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71790 and 71805.

How to find the GCF of 71790 and 71805?

We will first find the prime factorization of 71790 and 71805. After we will calculate the factors of 71790 and 71805 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 71805

Prime factors of 71805 are 3, 5, 4787. Prime factorization of 71805 in exponential form is:

71805 = 3¹ × 5¹ × 4787¹

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 71805

List of positive integer factors of 71805 that divides 71790 without a remainder.

1, 3, 5, 15, 4787, 14361, 23935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71790 and 71805. The biggest common factor number is the GCF number.
So the greatest common factor 71790 and 71805 is 15.

Also check out the Least Common Multiple of 71790 and 71805