What is the Greatest Common Factor of 55638 and 55644?

Greatest common factor (GCF) of 55638 and 55644 is 6.

GCF(55638,55644) = 6

We will now calculate the prime factors of 55638 and 55644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55638 and 55644.

How to find the GCF of 55638 and 55644?

We will first find the prime factorization of 55638 and 55644. After we will calculate the factors of 55638 and 55644 and find the biggest common factor number .

Step-1: Prime Factorization of 55638

Prime factors of 55638 are 2, 3, 11, 281. Prime factorization of 55638 in exponential form is:

55638 = 2¹ × 3² × 11¹ × 281¹

Step-2: Prime Factorization of 55644

Prime factors of 55644 are 2, 3, 4637. Prime factorization of 55644 in exponential form is:

55644 = 2² × 3¹ × 4637¹

Step-3: Factors of 55638

List of positive integer factors of 55638 that divides 55638 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 281, 562, 843, 1686, 2529, 3091, 5058, 6182, 9273, 18546, 27819

Step-4: Factors of 55644

List of positive integer factors of 55644 that divides 55638 without a remainder.

1, 2, 3, 4, 6, 12, 4637, 9274, 13911, 18548, 27822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55638 and 55644. The biggest common factor number is the GCF number.
So the greatest common factor 55638 and 55644 is 6.

Also check out the Least Common Multiple of 55638 and 55644