What is the Greatest Common Factor of 36654 and 36664?

Greatest common factor (GCF) of 36654 and 36664 is 2.

GCF(36654,36664) = 2

We will now calculate the prime factors of 36654 and 36664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36654 and 36664.

How to find the GCF of 36654 and 36664?

We will first find the prime factorization of 36654 and 36664. After we will calculate the factors of 36654 and 36664 and find the biggest common factor number .

Step-1: Prime Factorization of 36654

Prime factors of 36654 are 2, 3, 41, 149. Prime factorization of 36654 in exponential form is:

36654 = 2¹ × 3¹ × 41¹ × 149¹

Step-2: Prime Factorization of 36664

Prime factors of 36664 are 2, 4583. Prime factorization of 36664 in exponential form is:

36664 = 2³ × 4583¹

Step-3: Factors of 36654

List of positive integer factors of 36654 that divides 36654 without a remainder.

1, 2, 3, 6, 41, 82, 123, 149, 246, 298, 447, 894, 6109, 12218, 18327

Step-4: Factors of 36664

List of positive integer factors of 36664 that divides 36654 without a remainder.

1, 2, 4, 8, 4583, 9166, 18332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36654 and 36664. The biggest common factor number is the GCF number.
So the greatest common factor 36654 and 36664 is 2.

Also check out the Least Common Multiple of 36654 and 36664