What is the Greatest Common Factor of 55059 and 55077?

Greatest common factor (GCF) of 55059 and 55077 is 3.

GCF(55059,55077) = 3

We will now calculate the prime factors of 55059 and 55077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55059 and 55077.

How to find the GCF of 55059 and 55077?

We will first find the prime factorization of 55059 and 55077. After we will calculate the factors of 55059 and 55077 and find the biggest common factor number .

Step-1: Prime Factorization of 55059

Prime factors of 55059 are 3, 18353. Prime factorization of 55059 in exponential form is:

55059 = 3¹ × 18353¹

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 55059

List of positive integer factors of 55059 that divides 55059 without a remainder.

1, 3, 18353

Step-4: Factors of 55077

List of positive integer factors of 55077 that divides 55059 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55059 and 55077. The biggest common factor number is the GCF number.
So the greatest common factor 55059 and 55077 is 3.

Also check out the Least Common Multiple of 55059 and 55077