What is the Greatest Common Factor of 36986 and 36995?

Greatest common factor (GCF) of 36986 and 36995 is 1.

GCF(36986,36995) = 1

We will now calculate the prime factors of 36986 and 36995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36986 and 36995.

How to find the GCF of 36986 and 36995?

We will first find the prime factorization of 36986 and 36995. After we will calculate the factors of 36986 and 36995 and find the biggest common factor number .

Step-1: Prime Factorization of 36986

Prime factors of 36986 are 2, 18493. Prime factorization of 36986 in exponential form is:

36986 = 2¹ × 18493¹

Step-2: Prime Factorization of 36995

Prime factors of 36995 are 5, 7, 151. Prime factorization of 36995 in exponential form is:

36995 = 5¹ × 7² × 151¹

Step-3: Factors of 36986

List of positive integer factors of 36986 that divides 36986 without a remainder.

1, 2, 18493

Step-4: Factors of 36995

List of positive integer factors of 36995 that divides 36986 without a remainder.

1, 5, 7, 35, 49, 151, 245, 755, 1057, 5285, 7399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36986 and 36995. The biggest common factor number is the GCF number.
So the greatest common factor 36986 and 36995 is 1.

Also check out the Least Common Multiple of 36986 and 36995