What is the Greatest Common Factor of 52405 and 52425?

Greatest common factor (GCF) of 52405 and 52425 is 5.

GCF(52405,52425) = 5

We will now calculate the prime factors of 52405 and 52425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52405 and 52425.

How to find the GCF of 52405 and 52425?

We will first find the prime factorization of 52405 and 52425. After we will calculate the factors of 52405 and 52425 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52425

Prime factors of 52425 are 3, 5, 233. Prime factorization of 52425 in exponential form is:

52425 = 3² × 5² × 233¹

Step-3: Factors of 52405

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

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

Step-4: Factors of 52425

List of positive integer factors of 52425 that divides 52405 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 233, 699, 1165, 2097, 3495, 5825, 10485, 17475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52405 and 52425. The biggest common factor number is the GCF number.
So the greatest common factor 52405 and 52425 is 5.

Also check out the Least Common Multiple of 52405 and 52425