What is the Greatest Common Factor of 36707 and 36718?

Greatest common factor (GCF) of 36707 and 36718 is 11.

GCF(36707,36718) = 11

We will now calculate the prime factors of 36707 and 36718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36707 and 36718.

How to find the GCF of 36707 and 36718?

We will first find the prime factorization of 36707 and 36718. After we will calculate the factors of 36707 and 36718 and find the biggest common factor number .

Step-1: Prime Factorization of 36707

Prime factors of 36707 are 11, 47, 71. Prime factorization of 36707 in exponential form is:

36707 = 11¹ × 47¹ × 71¹

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 36707

List of positive integer factors of 36707 that divides 36707 without a remainder.

1, 11, 47, 71, 517, 781, 3337

Step-4: Factors of 36718

List of positive integer factors of 36718 that divides 36707 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36707 and 36718. The biggest common factor number is the GCF number.
So the greatest common factor 36707 and 36718 is 11.

Also check out the Least Common Multiple of 36707 and 36718