What is the Greatest Common Factor of 72790 and 72809?

Greatest common factor (GCF) of 72790 and 72809 is 1.

GCF(72790,72809) = 1

We will now calculate the prime factors of 72790 and 72809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72790 and 72809.

How to find the GCF of 72790 and 72809?

We will first find the prime factorization of 72790 and 72809. After we will calculate the factors of 72790 and 72809 and find the biggest common factor number .

Step-1: Prime Factorization of 72790

Prime factors of 72790 are 2, 5, 29, 251. Prime factorization of 72790 in exponential form is:

72790 = 2¹ × 5¹ × 29¹ × 251¹

Step-2: Prime Factorization of 72809

Prime factors of 72809 are 11, 6619. Prime factorization of 72809 in exponential form is:

72809 = 11¹ × 6619¹

Step-3: Factors of 72790

List of positive integer factors of 72790 that divides 72790 without a remainder.

1, 2, 5, 10, 29, 58, 145, 251, 290, 502, 1255, 2510, 7279, 14558, 36395

Step-4: Factors of 72809

List of positive integer factors of 72809 that divides 72790 without a remainder.

1, 11, 6619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72790 and 72809. The biggest common factor number is the GCF number.
So the greatest common factor 72790 and 72809 is 1.

Also check out the Least Common Multiple of 72790 and 72809