What is the Greatest Common Factor of 36710 and 36718?

Greatest common factor (GCF) of 36710 and 36718 is 2.

GCF(36710,36718) = 2

We will now calculate the prime factors of 36710 and 36718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36710 and 36718.

How to find the GCF of 36710 and 36718?

We will first find the prime factorization of 36710 and 36718. After we will calculate the factors of 36710 and 36718 and find the biggest common factor number .

Step-1: Prime Factorization of 36710

Prime factors of 36710 are 2, 5, 3671. Prime factorization of 36710 in exponential form is:

36710 = 2¹ × 5¹ × 3671¹

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 36710

List of positive integer factors of 36710 that divides 36710 without a remainder.

1, 2, 5, 10, 3671, 7342, 18355

Step-4: Factors of 36718

List of positive integer factors of 36718 that divides 36710 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36710 and 36718. The biggest common factor number is the GCF number.
So the greatest common factor 36710 and 36718 is 2.

Also check out the Least Common Multiple of 36710 and 36718