What is the Greatest Common Factor of 52395 and 52410?

Greatest common factor (GCF) of 52395 and 52410 is 15.

GCF(52395,52410) = 15

We will now calculate the prime factors of 52395 and 52410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52395 and 52410.

How to find the GCF of 52395 and 52410?

We will first find the prime factorization of 52395 and 52410. After we will calculate the factors of 52395 and 52410 and find the biggest common factor number .

Step-1: Prime Factorization of 52395

Prime factors of 52395 are 3, 5, 7, 499. Prime factorization of 52395 in exponential form is:

52395 = 3¹ × 5¹ × 7¹ × 499¹

Step-2: Prime Factorization of 52410

Prime factors of 52410 are 2, 3, 5, 1747. Prime factorization of 52410 in exponential form is:

52410 = 2¹ × 3¹ × 5¹ × 1747¹

Step-3: Factors of 52395

List of positive integer factors of 52395 that divides 52395 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 499, 1497, 2495, 3493, 7485, 10479, 17465

Step-4: Factors of 52410

List of positive integer factors of 52410 that divides 52395 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1747, 3494, 5241, 8735, 10482, 17470, 26205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52395 and 52410. The biggest common factor number is the GCF number.
So the greatest common factor 52395 and 52410 is 15.

Also check out the Least Common Multiple of 52395 and 52410