What is the Greatest Common Factor of 36985 and 36995?

Greatest common factor (GCF) of 36985 and 36995 is 5.

GCF(36985,36995) = 5

We will now calculate the prime factors of 36985 and 36995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36985 and 36995.

How to find the GCF of 36985 and 36995?

We will first find the prime factorization of 36985 and 36995. After we will calculate the factors of 36985 and 36995 and find the biggest common factor number .

Step-1: Prime Factorization of 36985

Prime factors of 36985 are 5, 13, 569. Prime factorization of 36985 in exponential form is:

36985 = 5¹ × 13¹ × 569¹

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 36985

List of positive integer factors of 36985 that divides 36985 without a remainder.

1, 5, 13, 65, 569, 2845, 7397

Step-4: Factors of 36995

List of positive integer factors of 36995 that divides 36985 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 36985 and 36995. The biggest common factor number is the GCF number.
So the greatest common factor 36985 and 36995 is 5.

Also check out the Least Common Multiple of 36985 and 36995