What is the Greatest Common Factor of 37914 and 37925?

Greatest common factor (GCF) of 37914 and 37925 is 1.

GCF(37914,37925) = 1

We will now calculate the prime factors of 37914 and 37925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37914 and 37925.

How to find the GCF of 37914 and 37925?

We will first find the prime factorization of 37914 and 37925. After we will calculate the factors of 37914 and 37925 and find the biggest common factor number .

Step-1: Prime Factorization of 37914

Prime factors of 37914 are 2, 3, 71, 89. Prime factorization of 37914 in exponential form is:

37914 = 2¹ × 3¹ × 71¹ × 89¹

Step-2: 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-3: Factors of 37914

List of positive integer factors of 37914 that divides 37914 without a remainder.

1, 2, 3, 6, 71, 89, 142, 178, 213, 267, 426, 534, 6319, 12638, 18957

Step-4: Factors of 37925

List of positive integer factors of 37925 that divides 37914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37914 and 37925. The biggest common factor number is the GCF number.
So the greatest common factor 37914 and 37925 is 1.

Also check out the Least Common Multiple of 37914 and 37925