What is the Greatest Common Factor of 55047 and 55053?

Greatest common factor (GCF) of 55047 and 55053 is 3.

GCF(55047,55053) = 3

We will now calculate the prime factors of 55047 and 55053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55047 and 55053.

How to find the GCF of 55047 and 55053?

We will first find the prime factorization of 55047 and 55053. After we will calculate the factors of 55047 and 55053 and find the biggest common factor number .

Step-1: Prime Factorization of 55047

Prime factors of 55047 are 3, 59, 311. Prime factorization of 55047 in exponential form is:

55047 = 3¹ × 59¹ × 311¹

Step-2: Prime Factorization of 55053

Prime factors of 55053 are 3, 2039. Prime factorization of 55053 in exponential form is:

55053 = 3³ × 2039¹

Step-3: Factors of 55047

List of positive integer factors of 55047 that divides 55047 without a remainder.

1, 3, 59, 177, 311, 933, 18349

Step-4: Factors of 55053

List of positive integer factors of 55053 that divides 55047 without a remainder.

1, 3, 9, 27, 2039, 6117, 18351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55047 and 55053. The biggest common factor number is the GCF number.
So the greatest common factor 55047 and 55053 is 3.

Also check out the Least Common Multiple of 55047 and 55053