What is the Greatest Common Factor of 52296 and 52311?

Greatest common factor (GCF) of 52296 and 52311 is 3.

GCF(52296,52311) = 3

We will now calculate the prime factors of 52296 and 52311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52296 and 52311.

How to find the GCF of 52296 and 52311?

We will first find the prime factorization of 52296 and 52311. After we will calculate the factors of 52296 and 52311 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 52311

Prime factors of 52311 are 3, 7, 47, 53. Prime factorization of 52311 in exponential form is:

52311 = 3¹ × 7¹ × 47¹ × 53¹

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 52311

List of positive integer factors of 52311 that divides 52296 without a remainder.

1, 3, 7, 21, 47, 53, 141, 159, 329, 371, 987, 1113, 2491, 7473, 17437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52296 and 52311. The biggest common factor number is the GCF number.
So the greatest common factor 52296 and 52311 is 3.

Also check out the Least Common Multiple of 52296 and 52311