What is the Greatest Common Factor of 37405 and 37425?

Greatest common factor (GCF) of 37405 and 37425 is 5.

GCF(37405,37425) = 5

We will now calculate the prime factors of 37405 and 37425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37405 and 37425.

How to find the GCF of 37405 and 37425?

We will first find the prime factorization of 37405 and 37425. After we will calculate the factors of 37405 and 37425 and find the biggest common factor number .

Step-1: Prime Factorization of 37405

Prime factors of 37405 are 5, 7481. Prime factorization of 37405 in exponential form is:

37405 = 5¹ × 7481¹

Step-2: Prime Factorization of 37425

Prime factors of 37425 are 3, 5, 499. Prime factorization of 37425 in exponential form is:

37425 = 3¹ × 5² × 499¹

Step-3: Factors of 37405

List of positive integer factors of 37405 that divides 37405 without a remainder.

1, 5, 7481

Step-4: Factors of 37425

List of positive integer factors of 37425 that divides 37405 without a remainder.

1, 3, 5, 15, 25, 75, 499, 1497, 2495, 7485, 12475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37405 and 37425. The biggest common factor number is the GCF number.
So the greatest common factor 37405 and 37425 is 5.

Also check out the Least Common Multiple of 37405 and 37425