What is the Greatest Common Factor of 36709 and 36718?

Greatest common factor (GCF) of 36709 and 36718 is 1.

GCF(36709,36718) = 1

We will now calculate the prime factors of 36709 and 36718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36709 and 36718.

How to find the GCF of 36709 and 36718?

We will first find the prime factorization of 36709 and 36718. After we will calculate the factors of 36709 and 36718 and find the biggest common factor number .

Step-1: Prime Factorization of 36709

Prime factors of 36709 are 36709. Prime factorization of 36709 in exponential form is:

36709 = 36709¹

Step-2: Prime Factorization of 36718

Prime factors of 36718 are 2, 11, 1669. Prime factorization of 36718 in exponential form is:

36718 = 2¹ × 11¹ × 1669¹

Step-3: Factors of 36709

List of positive integer factors of 36709 that divides 36709 without a remainder.

Step-4: Factors of 36718

List of positive integer factors of 36718 that divides 36709 without a remainder.

1, 2, 11, 22, 1669, 3338, 18359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36709 and 36718. The biggest common factor number is the GCF number.
So the greatest common factor 36709 and 36718 is 1.

Also check out the Least Common Multiple of 36709 and 36718