What is the Greatest Common Factor of 36985 and 36998?

Greatest common factor (GCF) of 36985 and 36998 is 13.

GCF(36985,36998) = 13

We will now calculate the prime factors of 36985 and 36998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36985 and 36998.

How to find the GCF of 36985 and 36998?

We will first find the prime factorization of 36985 and 36998. After we will calculate the factors of 36985 and 36998 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 36998

Prime factors of 36998 are 2, 13, 1423. Prime factorization of 36998 in exponential form is:

36998 = 2¹ × 13¹ × 1423¹

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 36998

List of positive integer factors of 36998 that divides 36985 without a remainder.

1, 2, 13, 26, 1423, 2846, 18499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36985 and 36998. The biggest common factor number is the GCF number.
So the greatest common factor 36985 and 36998 is 13.

Also check out the Least Common Multiple of 36985 and 36998