What is the Greatest Common Factor of 37690 and 37695?

Greatest common factor (GCF) of 37690 and 37695 is 5.

GCF(37690,37695) = 5

We will now calculate the prime factors of 37690 and 37695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37690 and 37695.

How to find the GCF of 37690 and 37695?

We will first find the prime factorization of 37690 and 37695. After we will calculate the factors of 37690 and 37695 and find the biggest common factor number .

Step-1: Prime Factorization of 37690

Prime factors of 37690 are 2, 5, 3769. Prime factorization of 37690 in exponential form is:

37690 = 2¹ × 5¹ × 3769¹

Step-2: Prime Factorization of 37695

Prime factors of 37695 are 3, 5, 7, 359. Prime factorization of 37695 in exponential form is:

37695 = 3¹ × 5¹ × 7¹ × 359¹

Step-3: Factors of 37690

List of positive integer factors of 37690 that divides 37690 without a remainder.

1, 2, 5, 10, 3769, 7538, 18845

Step-4: Factors of 37695

List of positive integer factors of 37695 that divides 37690 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 359, 1077, 1795, 2513, 5385, 7539, 12565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37690 and 37695. The biggest common factor number is the GCF number.
So the greatest common factor 37690 and 37695 is 5.

Also check out the Least Common Multiple of 37690 and 37695