What is the Greatest Common Factor of 52167 and 52176?

Greatest common factor (GCF) of 52167 and 52176 is 3.

GCF(52167,52176) = 3

We will now calculate the prime factors of 52167 and 52176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52167 and 52176.

How to find the GCF of 52167 and 52176?

We will first find the prime factorization of 52167 and 52176. After we will calculate the factors of 52167 and 52176 and find the biggest common factor number .

Step-1: Prime Factorization of 52167

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

52167 = 3¹ × 17389¹

Step-2: Prime Factorization of 52176

Prime factors of 52176 are 2, 3, 1087. Prime factorization of 52176 in exponential form is:

52176 = 2⁴ × 3¹ × 1087¹

Step-3: Factors of 52167

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

1, 3, 17389

Step-4: Factors of 52176

List of positive integer factors of 52176 that divides 52167 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1087, 2174, 3261, 4348, 6522, 8696, 13044, 17392, 26088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52167 and 52176. The biggest common factor number is the GCF number.
So the greatest common factor 52167 and 52176 is 3.

Also check out the Least Common Multiple of 52167 and 52176