What is the Greatest Common Factor of 37425 and 37437?

Greatest common factor (GCF) of 37425 and 37437 is 3.

GCF(37425,37437) = 3

We will now calculate the prime factors of 37425 and 37437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37425 and 37437.

How to find the GCF of 37425 and 37437?

We will first find the prime factorization of 37425 and 37437. After we will calculate the factors of 37425 and 37437 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37437

Prime factors of 37437 are 3, 12479. Prime factorization of 37437 in exponential form is:

37437 = 3¹ × 12479¹

Step-3: Factors of 37425

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

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

Step-4: Factors of 37437

List of positive integer factors of 37437 that divides 37425 without a remainder.

1, 3, 12479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37425 and 37437. The biggest common factor number is the GCF number.
So the greatest common factor 37425 and 37437 is 3.

Also check out the Least Common Multiple of 37425 and 37437