What is the Greatest Common Factor of 55164 and 55172?

Greatest common factor (GCF) of 55164 and 55172 is 4.

GCF(55164,55172) = 4

We will now calculate the prime factors of 55164 and 55172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55164 and 55172.

How to find the GCF of 55164 and 55172?

We will first find the prime factorization of 55164 and 55172. After we will calculate the factors of 55164 and 55172 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55172

Prime factors of 55172 are 2, 13, 1061. Prime factorization of 55172 in exponential form is:

55172 = 2² × 13¹ × 1061¹

Step-3: Factors of 55164

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

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

Step-4: Factors of 55172

List of positive integer factors of 55172 that divides 55164 without a remainder.

1, 2, 4, 13, 26, 52, 1061, 2122, 4244, 13793, 27586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55164 and 55172. The biggest common factor number is the GCF number.
So the greatest common factor 55164 and 55172 is 4.

Also check out the Least Common Multiple of 55164 and 55172