What is the Greatest Common Factor of 37325 and 37340?

Greatest common factor (GCF) of 37325 and 37340 is 5.

GCF(37325,37340) = 5

We will now calculate the prime factors of 37325 and 37340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37325 and 37340.

How to find the GCF of 37325 and 37340?

We will first find the prime factorization of 37325 and 37340. After we will calculate the factors of 37325 and 37340 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 37340

Prime factors of 37340 are 2, 5, 1867. Prime factorization of 37340 in exponential form is:

37340 = 2² × 5¹ × 1867¹

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 37340

List of positive integer factors of 37340 that divides 37325 without a remainder.

1, 2, 4, 5, 10, 20, 1867, 3734, 7468, 9335, 18670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37325 and 37340. The biggest common factor number is the GCF number.
So the greatest common factor 37325 and 37340 is 5.

Also check out the Least Common Multiple of 37325 and 37340