What is the Greatest Common Factor of 55149 and 55164?

Greatest common factor (GCF) of 55149 and 55164 is 3.

GCF(55149,55164) = 3

We will now calculate the prime factors of 55149 and 55164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55149 and 55164.

How to find the GCF of 55149 and 55164?

We will first find the prime factorization of 55149 and 55164. After we will calculate the factors of 55149 and 55164 and find the biggest common factor number .

Step-1: Prime Factorization of 55149

Prime factors of 55149 are 3, 31, 593. Prime factorization of 55149 in exponential form is:

55149 = 3¹ × 31¹ × 593¹

Step-2: Prime Factorization of 55164

Prime factors of 55164 are 2, 3, 4597. Prime factorization of 55164 in exponential form is:

55164 = 2² × 3¹ × 4597¹

Step-3: Factors of 55149

List of positive integer factors of 55149 that divides 55149 without a remainder.

1, 3, 31, 93, 593, 1779, 18383

Step-4: Factors of 55164

List of positive integer factors of 55164 that divides 55149 without a remainder.

1, 2, 3, 4, 6, 12, 4597, 9194, 13791, 18388, 27582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55149 and 55164. The biggest common factor number is the GCF number.
So the greatest common factor 55149 and 55164 is 3.

Also check out the Least Common Multiple of 55149 and 55164