What is the Greatest Common Factor of 55164 and 55180?

Greatest common factor (GCF) of 55164 and 55180 is 4.

GCF(55164,55180) = 4

We will now calculate the prime factors of 55164 and 55180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55164 and 55180.

How to find the GCF of 55164 and 55180?

We will first find the prime factorization of 55164 and 55180. After we will calculate the factors of 55164 and 55180 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 55180

Prime factors of 55180 are 2, 5, 31, 89. Prime factorization of 55180 in exponential form is:

55180 = 2² × 5¹ × 31¹ × 89¹

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 55180

List of positive integer factors of 55180 that divides 55164 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 89, 124, 155, 178, 310, 356, 445, 620, 890, 1780, 2759, 5518, 11036, 13795, 27590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55164 and 55180. The biggest common factor number is the GCF number.
So the greatest common factor 55164 and 55180 is 4.

Also check out the Least Common Multiple of 55164 and 55180