What is the Greatest Common Factor of 37793 and 37807?

Greatest common factor (GCF) of 37793 and 37807 is 7.

GCF(37793,37807) = 7

We will now calculate the prime factors of 37793 and 37807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37793 and 37807.

How to find the GCF of 37793 and 37807?

We will first find the prime factorization of 37793 and 37807. After we will calculate the factors of 37793 and 37807 and find the biggest common factor number .

Step-1: Prime Factorization of 37793

Prime factors of 37793 are 7, 5399. Prime factorization of 37793 in exponential form is:

37793 = 7¹ × 5399¹

Step-2: Prime Factorization of 37807

Prime factors of 37807 are 7, 11, 491. Prime factorization of 37807 in exponential form is:

37807 = 7¹ × 11¹ × 491¹

Step-3: Factors of 37793

List of positive integer factors of 37793 that divides 37793 without a remainder.

1, 7, 5399

Step-4: Factors of 37807

List of positive integer factors of 37807 that divides 37793 without a remainder.

1, 7, 11, 77, 491, 3437, 5401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37793 and 37807. The biggest common factor number is the GCF number.
So the greatest common factor 37793 and 37807 is 7.

Also check out the Least Common Multiple of 37793 and 37807