What is the Greatest Common Factor of 54636 and 54654?

Greatest common factor (GCF) of 54636 and 54654 is 6.

GCF(54636,54654) = 6

We will now calculate the prime factors of 54636 and 54654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54636 and 54654.

How to find the GCF of 54636 and 54654?

We will first find the prime factorization of 54636 and 54654. After we will calculate the factors of 54636 and 54654 and find the biggest common factor number .

Step-1: Prime Factorization of 54636

Prime factors of 54636 are 2, 3, 29, 157. Prime factorization of 54636 in exponential form is:

54636 = 2² × 3¹ × 29¹ × 157¹

Step-2: Prime Factorization of 54654

Prime factors of 54654 are 2, 3, 9109. Prime factorization of 54654 in exponential form is:

54654 = 2¹ × 3¹ × 9109¹

Step-3: Factors of 54636

List of positive integer factors of 54636 that divides 54636 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 157, 174, 314, 348, 471, 628, 942, 1884, 4553, 9106, 13659, 18212, 27318

Step-4: Factors of 54654

List of positive integer factors of 54654 that divides 54636 without a remainder.

1, 2, 3, 6, 9109, 18218, 27327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54636 and 54654. The biggest common factor number is the GCF number.
So the greatest common factor 54636 and 54654 is 6.

Also check out the Least Common Multiple of 54636 and 54654