What is the Greatest Common Factor of 37325 and 37331?

Greatest common factor (GCF) of 37325 and 37331 is 1.

GCF(37325,37331) = 1

We will now calculate the prime factors of 37325 and 37331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37325 and 37331.

How to find the GCF of 37325 and 37331?

We will first find the prime factorization of 37325 and 37331. After we will calculate the factors of 37325 and 37331 and find the biggest common factor number .

Step-1: Prime Factorization of 37325

Prime factors of 37325 are 5, 1493. Prime factorization of 37325 in exponential form is:

37325 = 5² × 1493¹

Step-2: Prime Factorization of 37331

Prime factors of 37331 are 7, 5333. Prime factorization of 37331 in exponential form is:

37331 = 7¹ × 5333¹

Step-3: Factors of 37325

List of positive integer factors of 37325 that divides 37325 without a remainder.

1, 5, 25, 1493, 7465

Step-4: Factors of 37331

List of positive integer factors of 37331 that divides 37325 without a remainder.

1, 7, 5333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37325 and 37331. The biggest common factor number is the GCF number.
So the greatest common factor 37325 and 37331 is 1.

Also check out the Least Common Multiple of 37325 and 37331