What is the Greatest Common Factor of 36774 and 36780?

Greatest common factor (GCF) of 36774 and 36780 is 6.

GCF(36774,36780) = 6

We will now calculate the prime factors of 36774 and 36780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36774 and 36780.

How to find the GCF of 36774 and 36780?

We will first find the prime factorization of 36774 and 36780. After we will calculate the factors of 36774 and 36780 and find the biggest common factor number .

Step-1: Prime Factorization of 36774

Prime factors of 36774 are 2, 3, 227. Prime factorization of 36774 in exponential form is:

36774 = 2¹ × 3⁴ × 227¹

Step-2: Prime Factorization of 36780

Prime factors of 36780 are 2, 3, 5, 613. Prime factorization of 36780 in exponential form is:

36780 = 2² × 3¹ × 5¹ × 613¹

Step-3: Factors of 36774

List of positive integer factors of 36774 that divides 36774 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 227, 454, 681, 1362, 2043, 4086, 6129, 12258, 18387

Step-4: Factors of 36780

List of positive integer factors of 36780 that divides 36774 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 613, 1226, 1839, 2452, 3065, 3678, 6130, 7356, 9195, 12260, 18390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36774 and 36780. The biggest common factor number is the GCF number.
So the greatest common factor 36774 and 36780 is 6.

Also check out the Least Common Multiple of 36774 and 36780