What is the Greatest Common Factor of 37706 and 37723?

Greatest common factor (GCF) of 37706 and 37723 is 17.

GCF(37706,37723) = 17

We will now calculate the prime factors of 37706 and 37723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37706 and 37723.

How to find the GCF of 37706 and 37723?

We will first find the prime factorization of 37706 and 37723. After we will calculate the factors of 37706 and 37723 and find the biggest common factor number .

Step-1: Prime Factorization of 37706

Prime factors of 37706 are 2, 17, 1109. Prime factorization of 37706 in exponential form is:

37706 = 2¹ × 17¹ × 1109¹

Step-2: Prime Factorization of 37723

Prime factors of 37723 are 7, 17, 317. Prime factorization of 37723 in exponential form is:

37723 = 7¹ × 17¹ × 317¹

Step-3: Factors of 37706

List of positive integer factors of 37706 that divides 37706 without a remainder.

1, 2, 17, 34, 1109, 2218, 18853

Step-4: Factors of 37723

List of positive integer factors of 37723 that divides 37706 without a remainder.

1, 7, 17, 119, 317, 2219, 5389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37706 and 37723. The biggest common factor number is the GCF number.
So the greatest common factor 37706 and 37723 is 17.

Also check out the Least Common Multiple of 37706 and 37723