What is the Greatest Common Factor of 37893 and 37907?

Greatest common factor (GCF) of 37893 and 37907 is 1.

GCF(37893,37907) = 1

We will now calculate the prime factors of 37893 and 37907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37893 and 37907.

How to find the GCF of 37893 and 37907?

We will first find the prime factorization of 37893 and 37907. After we will calculate the factors of 37893 and 37907 and find the biggest common factor number .

Step-1: Prime Factorization of 37893

Prime factors of 37893 are 3, 17, 743. Prime factorization of 37893 in exponential form is:

37893 = 3¹ × 17¹ × 743¹

Step-2: Prime Factorization of 37907

Prime factors of 37907 are 37907. Prime factorization of 37907 in exponential form is:

37907 = 37907¹

Step-3: Factors of 37893

List of positive integer factors of 37893 that divides 37893 without a remainder.

1, 3, 17, 51, 743, 2229, 12631

Step-4: Factors of 37907

List of positive integer factors of 37907 that divides 37893 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37893 and 37907. The biggest common factor number is the GCF number.
So the greatest common factor 37893 and 37907 is 1.

Also check out the Least Common Multiple of 37893 and 37907