What is the Greatest Common Factor of 54636 and 54642?

Greatest common factor (GCF) of 54636 and 54642 is 6.

GCF(54636,54642) = 6

We will now calculate the prime factors of 54636 and 54642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54636 and 54642.

How to find the GCF of 54636 and 54642?

We will first find the prime factorization of 54636 and 54642. After we will calculate the factors of 54636 and 54642 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 54642

Prime factors of 54642 are 2, 3, 7, 1301. Prime factorization of 54642 in exponential form is:

54642 = 2¹ × 3¹ × 7¹ × 1301¹

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 54642

List of positive integer factors of 54642 that divides 54636 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1301, 2602, 3903, 7806, 9107, 18214, 27321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54636 and 54642. The biggest common factor number is the GCF number.
So the greatest common factor 54636 and 54642 is 6.

Also check out the Least Common Multiple of 54636 and 54642