What is the Greatest Common Factor of 37925 and 37937?

Greatest common factor (GCF) of 37925 and 37937 is 1.

GCF(37925,37937) = 1

We will now calculate the prime factors of 37925 and 37937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37925 and 37937.

How to find the GCF of 37925 and 37937?

We will first find the prime factorization of 37925 and 37937. After we will calculate the factors of 37925 and 37937 and find the biggest common factor number .

Step-1: Prime Factorization of 37925

Prime factors of 37925 are 5, 37, 41. Prime factorization of 37925 in exponential form is:

37925 = 5² × 37¹ × 41¹

Step-2: Prime Factorization of 37937

Prime factors of 37937 are 59, 643. Prime factorization of 37937 in exponential form is:

37937 = 59¹ × 643¹

Step-3: Factors of 37925

List of positive integer factors of 37925 that divides 37925 without a remainder.

1, 5, 25, 37, 41, 185, 205, 925, 1025, 1517, 7585

Step-4: Factors of 37937

List of positive integer factors of 37937 that divides 37925 without a remainder.

1, 59, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37925 and 37937. The biggest common factor number is the GCF number.
So the greatest common factor 37925 and 37937 is 1.

Also check out the Least Common Multiple of 37925 and 37937