What is the Greatest Common Factor of 72790 and 72804?

Greatest common factor (GCF) of 72790 and 72804 is 2.

GCF(72790,72804) = 2

We will now calculate the prime factors of 72790 and 72804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72790 and 72804.

How to find the GCF of 72790 and 72804?

We will first find the prime factorization of 72790 and 72804. After we will calculate the factors of 72790 and 72804 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 72804

Prime factors of 72804 are 2, 3, 6067. Prime factorization of 72804 in exponential form is:

72804 = 2² × 3¹ × 6067¹

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 72804

List of positive integer factors of 72804 that divides 72790 without a remainder.

1, 2, 3, 4, 6, 12, 6067, 12134, 18201, 24268, 36402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72790 and 72804. The biggest common factor number is the GCF number.
So the greatest common factor 72790 and 72804 is 2.

Also check out the Least Common Multiple of 72790 and 72804