What is the Greatest Common Factor of 52146 and 52161?

Greatest common factor (GCF) of 52146 and 52161 is 3.

GCF(52146,52161) = 3

We will now calculate the prime factors of 52146 and 52161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52146 and 52161.

How to find the GCF of 52146 and 52161?

We will first find the prime factorization of 52146 and 52161. After we will calculate the factors of 52146 and 52161 and find the biggest common factor number .

Step-1: Prime Factorization of 52146

Prime factors of 52146 are 2, 3, 2897. Prime factorization of 52146 in exponential form is:

52146 = 2¹ × 3² × 2897¹

Step-2: Prime Factorization of 52161

Prime factors of 52161 are 3, 17387. Prime factorization of 52161 in exponential form is:

52161 = 3¹ × 17387¹

Step-3: Factors of 52146

List of positive integer factors of 52146 that divides 52146 without a remainder.

1, 2, 3, 6, 9, 18, 2897, 5794, 8691, 17382, 26073

Step-4: Factors of 52161

List of positive integer factors of 52161 that divides 52146 without a remainder.

1, 3, 17387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52146 and 52161. The biggest common factor number is the GCF number.
So the greatest common factor 52146 and 52161 is 3.

Also check out the Least Common Multiple of 52146 and 52161