What is the Greatest Common Factor of 55152 and 55167?

Greatest common factor (GCF) of 55152 and 55167 is 3.

GCF(55152,55167) = 3

We will now calculate the prime factors of 55152 and 55167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55152 and 55167.

How to find the GCF of 55152 and 55167?

We will first find the prime factorization of 55152 and 55167. After we will calculate the factors of 55152 and 55167 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 55167

Prime factors of 55167 are 3, 7, 37, 71. Prime factorization of 55167 in exponential form is:

55167 = 3¹ × 7¹ × 37¹ × 71¹

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 55167

List of positive integer factors of 55167 that divides 55152 without a remainder.

1, 3, 7, 21, 37, 71, 111, 213, 259, 497, 777, 1491, 2627, 7881, 18389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55152 and 55167. The biggest common factor number is the GCF number.
So the greatest common factor 55152 and 55167 is 3.

Also check out the Least Common Multiple of 55152 and 55167