What is the Greatest Common Factor of 52152 and 52167?

Greatest common factor (GCF) of 52152 and 52167 is 3.

GCF(52152,52167) = 3

We will now calculate the prime factors of 52152 and 52167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52152 and 52167.

How to find the GCF of 52152 and 52167?

We will first find the prime factorization of 52152 and 52167. After we will calculate the factors of 52152 and 52167 and find the biggest common factor number .

Step-1: Prime Factorization of 52152

Prime factors of 52152 are 2, 3, 41, 53. Prime factorization of 52152 in exponential form is:

52152 = 2³ × 3¹ × 41¹ × 53¹

Step-2: Prime Factorization of 52167

Prime factors of 52167 are 3, 17389. Prime factorization of 52167 in exponential form is:

52167 = 3¹ × 17389¹

Step-3: Factors of 52152

List of positive integer factors of 52152 that divides 52152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 53, 82, 106, 123, 159, 164, 212, 246, 318, 328, 424, 492, 636, 984, 1272, 2173, 4346, 6519, 8692, 13038, 17384, 26076

Step-4: Factors of 52167

List of positive integer factors of 52167 that divides 52152 without a remainder.

1, 3, 17389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52152 and 52167. The biggest common factor number is the GCF number.
So the greatest common factor 52152 and 52167 is 3.

Also check out the Least Common Multiple of 52152 and 52167