What is the Greatest Common Factor of 72790 and 72795?

Greatest common factor (GCF) of 72790 and 72795 is 5.

GCF(72790,72795) = 5

We will now calculate the prime factors of 72790 and 72795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72790 and 72795.

How to find the GCF of 72790 and 72795?

We will first find the prime factorization of 72790 and 72795. After we will calculate the factors of 72790 and 72795 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 72795

Prime factors of 72795 are 3, 5, 23, 211. Prime factorization of 72795 in exponential form is:

72795 = 3¹ × 5¹ × 23¹ × 211¹

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 72795

List of positive integer factors of 72795 that divides 72790 without a remainder.

1, 3, 5, 15, 23, 69, 115, 211, 345, 633, 1055, 3165, 4853, 14559, 24265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72790 and 72795. The biggest common factor number is the GCF number.
So the greatest common factor 72790 and 72795 is 5.

Also check out the Least Common Multiple of 72790 and 72795