What is the Greatest Common Factor of 72770 and 72774?

Greatest common factor (GCF) of 72770 and 72774 is 2.

GCF(72770,72774) = 2

We will now calculate the prime factors of 72770 and 72774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72770 and 72774.

How to find the GCF of 72770 and 72774?

We will first find the prime factorization of 72770 and 72774. After we will calculate the factors of 72770 and 72774 and find the biggest common factor number .

Step-1: Prime Factorization of 72770

Prime factors of 72770 are 2, 5, 19, 383. Prime factorization of 72770 in exponential form is:

72770 = 2¹ × 5¹ × 19¹ × 383¹

Step-2: 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-3: Factors of 72770

List of positive integer factors of 72770 that divides 72770 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 383, 766, 1915, 3830, 7277, 14554, 36385

Step-4: Factors of 72774

List of positive integer factors of 72774 that divides 72770 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72770 and 72774. The biggest common factor number is the GCF number.
So the greatest common factor 72770 and 72774 is 2.

Also check out the Least Common Multiple of 72770 and 72774