What is the Greatest Common Factor of 55653 and 55671?

Greatest common factor (GCF) of 55653 and 55671 is 3.

GCF(55653,55671) = 3

We will now calculate the prime factors of 55653 and 55671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55653 and 55671.

How to find the GCF of 55653 and 55671?

We will first find the prime factorization of 55653 and 55671. After we will calculate the factors of 55653 and 55671 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 55671

Prime factors of 55671 are 3, 7, 11, 241. Prime factorization of 55671 in exponential form is:

55671 = 3¹ × 7¹ × 11¹ × 241¹

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 55671

List of positive integer factors of 55671 that divides 55653 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 241, 723, 1687, 2651, 5061, 7953, 18557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55653 and 55671. The biggest common factor number is the GCF number.
So the greatest common factor 55653 and 55671 is 3.

Also check out the Least Common Multiple of 55653 and 55671