What is the Greatest Common Factor of 37335 and 37340?

Greatest common factor (GCF) of 37335 and 37340 is 5.

GCF(37335,37340) = 5

We will now calculate the prime factors of 37335 and 37340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37335 and 37340.

How to find the GCF of 37335 and 37340?

We will first find the prime factorization of 37335 and 37340. After we will calculate the factors of 37335 and 37340 and find the biggest common factor number .

Step-1: Prime Factorization of 37335

Prime factors of 37335 are 3, 5, 19, 131. Prime factorization of 37335 in exponential form is:

37335 = 3¹ × 5¹ × 19¹ × 131¹

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 37335

List of positive integer factors of 37335 that divides 37335 without a remainder.

1, 3, 5, 15, 19, 57, 95, 131, 285, 393, 655, 1965, 2489, 7467, 12445

Step-4: Factors of 37340

List of positive integer factors of 37340 that divides 37335 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 37335 and 37340. The biggest common factor number is the GCF number.
So the greatest common factor 37335 and 37340 is 5.

Also check out the Least Common Multiple of 37335 and 37340