What is the Greatest Common Factor of 55068 and 55077?

Greatest common factor (GCF) of 55068 and 55077 is 3.

GCF(55068,55077) = 3

We will now calculate the prime factors of 55068 and 55077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55068 and 55077.

How to find the GCF of 55068 and 55077?

We will first find the prime factorization of 55068 and 55077. After we will calculate the factors of 55068 and 55077 and find the biggest common factor number .

Step-1: Prime Factorization of 55068

Prime factors of 55068 are 2, 3, 13, 353. Prime factorization of 55068 in exponential form is:

55068 = 2² × 3¹ × 13¹ × 353¹

Step-2: Prime Factorization of 55077

Prime factors of 55077 are 3, 11, 1669. Prime factorization of 55077 in exponential form is:

55077 = 3¹ × 11¹ × 1669¹

Step-3: Factors of 55068

List of positive integer factors of 55068 that divides 55068 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 353, 706, 1059, 1412, 2118, 4236, 4589, 9178, 13767, 18356, 27534

Step-4: Factors of 55077

List of positive integer factors of 55077 that divides 55068 without a remainder.

1, 3, 11, 33, 1669, 5007, 18359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55068 and 55077. The biggest common factor number is the GCF number.
So the greatest common factor 55068 and 55077 is 3.

Also check out the Least Common Multiple of 55068 and 55077