What is the Greatest Common Factor of 36642 and 36654?

Greatest common factor (GCF) of 36642 and 36654 is 6.

GCF(36642,36654) = 6

We will now calculate the prime factors of 36642 and 36654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36642 and 36654.

How to find the GCF of 36642 and 36654?

We will first find the prime factorization of 36642 and 36654. After we will calculate the factors of 36642 and 36654 and find the biggest common factor number .

Step-1: Prime Factorization of 36642

Prime factors of 36642 are 2, 3, 31, 197. Prime factorization of 36642 in exponential form is:

36642 = 2¹ × 3¹ × 31¹ × 197¹

Step-2: 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-3: Factors of 36642

List of positive integer factors of 36642 that divides 36642 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 197, 394, 591, 1182, 6107, 12214, 18321

Step-4: Factors of 36654

List of positive integer factors of 36654 that divides 36642 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36642 and 36654. The biggest common factor number is the GCF number.
So the greatest common factor 36642 and 36654 is 6.

Also check out the Least Common Multiple of 36642 and 36654