What is the Greatest Common Factor of 52395 and 52405?

Greatest common factor (GCF) of 52395 and 52405 is 5.

GCF(52395,52405) = 5

We will now calculate the prime factors of 52395 and 52405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52395 and 52405.

How to find the GCF of 52395 and 52405?

We will first find the prime factorization of 52395 and 52405. After we will calculate the factors of 52395 and 52405 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 52405

Prime factors of 52405 are 5, 47, 223. Prime factorization of 52405 in exponential form is:

52405 = 5¹ × 47¹ × 223¹

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 52405

List of positive integer factors of 52405 that divides 52395 without a remainder.

1, 5, 47, 223, 235, 1115, 10481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52395 and 52405. The biggest common factor number is the GCF number.
So the greatest common factor 52395 and 52405 is 5.

Also check out the Least Common Multiple of 52395 and 52405