What is the Greatest Common Factor of 36774 and 36792?

Greatest common factor (GCF) of 36774 and 36792 is 18.

GCF(36774,36792) = 18

We will now calculate the prime factors of 36774 and 36792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36774 and 36792.

How to find the GCF of 36774 and 36792?

We will first find the prime factorization of 36774 and 36792. After we will calculate the factors of 36774 and 36792 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 36792

Prime factors of 36792 are 2, 3, 7, 73. Prime factorization of 36792 in exponential form is:

36792 = 2³ × 3² × 7¹ × 73¹

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 36792

List of positive integer factors of 36792 that divides 36774 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 73, 84, 126, 146, 168, 219, 252, 292, 438, 504, 511, 584, 657, 876, 1022, 1314, 1533, 1752, 2044, 2628, 3066, 4088, 4599, 5256, 6132, 9198, 12264, 18396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36774 and 36792. The biggest common factor number is the GCF number.
So the greatest common factor 36774 and 36792 is 18.

Also check out the Least Common Multiple of 36774 and 36792