What is the Greatest Common Factor of 52296 and 52310?

Greatest common factor (GCF) of 52296 and 52310 is 2.

GCF(52296,52310) = 2

We will now calculate the prime factors of 52296 and 52310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52296 and 52310.

How to find the GCF of 52296 and 52310?

We will first find the prime factorization of 52296 and 52310. After we will calculate the factors of 52296 and 52310 and find the biggest common factor number .

Step-1: Prime Factorization of 52296

Prime factors of 52296 are 2, 3, 2179. Prime factorization of 52296 in exponential form is:

52296 = 2³ × 3¹ × 2179¹

Step-2: Prime Factorization of 52310

Prime factors of 52310 are 2, 5, 5231. Prime factorization of 52310 in exponential form is:

52310 = 2¹ × 5¹ × 5231¹

Step-3: Factors of 52296

List of positive integer factors of 52296 that divides 52296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2179, 4358, 6537, 8716, 13074, 17432, 26148

Step-4: Factors of 52310

List of positive integer factors of 52310 that divides 52296 without a remainder.

1, 2, 5, 10, 5231, 10462, 26155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52296 and 52310. The biggest common factor number is the GCF number.
So the greatest common factor 52296 and 52310 is 2.

Also check out the Least Common Multiple of 52296 and 52310