What is the Greatest Common Factor of 37340 and 37345?

Greatest common factor (GCF) of 37340 and 37345 is 5.

GCF(37340,37345) = 5

We will now calculate the prime factors of 37340 and 37345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37340 and 37345.

How to find the GCF of 37340 and 37345?

We will first find the prime factorization of 37340 and 37345. After we will calculate the factors of 37340 and 37345 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37345

Prime factors of 37345 are 5, 7, 11, 97. Prime factorization of 37345 in exponential form is:

37345 = 5¹ × 7¹ × 11¹ × 97¹

Step-3: Factors of 37340

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

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

Step-4: Factors of 37345

List of positive integer factors of 37345 that divides 37340 without a remainder.

1, 5, 7, 11, 35, 55, 77, 97, 385, 485, 679, 1067, 3395, 5335, 7469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37340 and 37345. The biggest common factor number is the GCF number.
So the greatest common factor 37340 and 37345 is 5.

Also check out the Least Common Multiple of 37340 and 37345