What is the Greatest Common Factor of 55635 and 55647?

Greatest common factor (GCF) of 55635 and 55647 is 3.

GCF(55635,55647) = 3

We will now calculate the prime factors of 55635 and 55647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55635 and 55647.

How to find the GCF of 55635 and 55647?

We will first find the prime factorization of 55635 and 55647. After we will calculate the factors of 55635 and 55647 and find the biggest common factor number .

Step-1: Prime Factorization of 55635

Prime factors of 55635 are 3, 5, 3709. Prime factorization of 55635 in exponential form is:

55635 = 3¹ × 5¹ × 3709¹

Step-2: Prime Factorization of 55647

Prime factors of 55647 are 3, 229. Prime factorization of 55647 in exponential form is:

55647 = 3⁵ × 229¹

Step-3: Factors of 55635

List of positive integer factors of 55635 that divides 55635 without a remainder.

1, 3, 5, 15, 3709, 11127, 18545

Step-4: Factors of 55647

List of positive integer factors of 55647 that divides 55635 without a remainder.

1, 3, 9, 27, 81, 229, 243, 687, 2061, 6183, 18549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55635 and 55647. The biggest common factor number is the GCF number.
So the greatest common factor 55635 and 55647 is 3.

Also check out the Least Common Multiple of 55635 and 55647