What is the Greatest Common Factor of 55152 and 55164?

Greatest common factor (GCF) of 55152 and 55164 is 12.

GCF(55152,55164) = 12

We will now calculate the prime factors of 55152 and 55164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55152 and 55164.

How to find the GCF of 55152 and 55164?

We will first find the prime factorization of 55152 and 55164. After we will calculate the factors of 55152 and 55164 and find the biggest common factor number .

Step-1: Prime Factorization of 55152

Prime factors of 55152 are 2, 3, 383. Prime factorization of 55152 in exponential form is:

55152 = 2⁴ × 3² × 383¹

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 55152

List of positive integer factors of 55152 that divides 55152 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 383, 766, 1149, 1532, 2298, 3064, 3447, 4596, 6128, 6894, 9192, 13788, 18384, 27576

Step-4: Factors of 55164

List of positive integer factors of 55164 that divides 55152 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 55152 and 55164. The biggest common factor number is the GCF number.
So the greatest common factor 55152 and 55164 is 12.

Also check out the Least Common Multiple of 55152 and 55164