What is the Greatest Common Factor of 36663 and 36674?

Greatest common factor (GCF) of 36663 and 36674 is 11.

GCF(36663,36674) = 11

We will now calculate the prime factors of 36663 and 36674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36663 and 36674.

How to find the GCF of 36663 and 36674?

We will first find the prime factorization of 36663 and 36674. After we will calculate the factors of 36663 and 36674 and find the biggest common factor number .

Step-1: Prime Factorization of 36663

Prime factors of 36663 are 3, 11, 101. Prime factorization of 36663 in exponential form is:

36663 = 3¹ × 11² × 101¹

Step-2: Prime Factorization of 36674

Prime factors of 36674 are 2, 11, 1667. Prime factorization of 36674 in exponential form is:

36674 = 2¹ × 11¹ × 1667¹

Step-3: Factors of 36663

List of positive integer factors of 36663 that divides 36663 without a remainder.

1, 3, 11, 33, 101, 121, 303, 363, 1111, 3333, 12221

Step-4: Factors of 36674

List of positive integer factors of 36674 that divides 36663 without a remainder.

1, 2, 11, 22, 1667, 3334, 18337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36663 and 36674. The biggest common factor number is the GCF number.
So the greatest common factor 36663 and 36674 is 11.

Also check out the Least Common Multiple of 36663 and 36674