What is the Greatest Common Factor of 72774 and 72790?

Greatest common factor (GCF) of 72774 and 72790 is 2.

GCF(72774,72790) = 2

We will now calculate the prime factors of 72774 and 72790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72774 and 72790.

How to find the GCF of 72774 and 72790?

We will first find the prime factorization of 72774 and 72790. After we will calculate the factors of 72774 and 72790 and find the biggest common factor number .

Step-1: Prime Factorization of 72774

Prime factors of 72774 are 2, 3, 13, 311. Prime factorization of 72774 in exponential form is:

72774 = 2¹ × 3² × 13¹ × 311¹

Step-2: 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-3: Factors of 72774

List of positive integer factors of 72774 that divides 72774 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 311, 622, 933, 1866, 2799, 4043, 5598, 8086, 12129, 24258, 36387

Step-4: Factors of 72790

List of positive integer factors of 72790 that divides 72774 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72774 and 72790. The biggest common factor number is the GCF number.
So the greatest common factor 72774 and 72790 is 2.

Also check out the Least Common Multiple of 72774 and 72790