What is the Greatest Common Factor of 52284 and 52299?

Greatest common factor (GCF) of 52284 and 52299 is 3.

GCF(52284,52299) = 3

We will now calculate the prime factors of 52284 and 52299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52284 and 52299.

How to find the GCF of 52284 and 52299?

We will first find the prime factorization of 52284 and 52299. After we will calculate the factors of 52284 and 52299 and find the biggest common factor number .

Step-1: Prime Factorization of 52284

Prime factors of 52284 are 2, 3, 4357. Prime factorization of 52284 in exponential form is:

52284 = 2² × 3¹ × 4357¹

Step-2: Prime Factorization of 52299

Prime factors of 52299 are 3, 13, 149. Prime factorization of 52299 in exponential form is:

52299 = 3³ × 13¹ × 149¹

Step-3: Factors of 52284

List of positive integer factors of 52284 that divides 52284 without a remainder.

1, 2, 3, 4, 6, 12, 4357, 8714, 13071, 17428, 26142

Step-4: Factors of 52299

List of positive integer factors of 52299 that divides 52284 without a remainder.

1, 3, 9, 13, 27, 39, 117, 149, 351, 447, 1341, 1937, 4023, 5811, 17433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52284 and 52299. The biggest common factor number is the GCF number.
So the greatest common factor 52284 and 52299 is 3.

Also check out the Least Common Multiple of 52284 and 52299