What is the Greatest Common Factor of 55653 and 55666?

Greatest common factor (GCF) of 55653 and 55666 is 13.

GCF(55653,55666) = 13

We will now calculate the prime factors of 55653 and 55666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55653 and 55666.

How to find the GCF of 55653 and 55666?

We will first find the prime factorization of 55653 and 55666. After we will calculate the factors of 55653 and 55666 and find the biggest common factor number .

Step-1: Prime Factorization of 55653

Prime factors of 55653 are 3, 13, 1427. Prime factorization of 55653 in exponential form is:

55653 = 3¹ × 13¹ × 1427¹

Step-2: Prime Factorization of 55666

Prime factors of 55666 are 2, 13, 2141. Prime factorization of 55666 in exponential form is:

55666 = 2¹ × 13¹ × 2141¹

Step-3: Factors of 55653

List of positive integer factors of 55653 that divides 55653 without a remainder.

1, 3, 13, 39, 1427, 4281, 18551

Step-4: Factors of 55666

List of positive integer factors of 55666 that divides 55653 without a remainder.

1, 2, 13, 26, 2141, 4282, 27833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55653 and 55666. The biggest common factor number is the GCF number.
So the greatest common factor 55653 and 55666 is 13.

Also check out the Least Common Multiple of 55653 and 55666