What is the Greatest Common Factor of 36766 and 36774?

Greatest common factor (GCF) of 36766 and 36774 is 2.

GCF(36766,36774) = 2

We will now calculate the prime factors of 36766 and 36774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36766 and 36774.

How to find the GCF of 36766 and 36774?

We will first find the prime factorization of 36766 and 36774. After we will calculate the factors of 36766 and 36774 and find the biggest common factor number .

Step-1: Prime Factorization of 36766

Prime factors of 36766 are 2, 31, 593. Prime factorization of 36766 in exponential form is:

36766 = 2¹ × 31¹ × 593¹

Step-2: 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-3: Factors of 36766

List of positive integer factors of 36766 that divides 36766 without a remainder.

1, 2, 31, 62, 593, 1186, 18383

Step-4: Factors of 36774

List of positive integer factors of 36774 that divides 36766 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36766 and 36774. The biggest common factor number is the GCF number.
So the greatest common factor 36766 and 36774 is 2.

Also check out the Least Common Multiple of 36766 and 36774