What is the Greatest Common Factor of 36966 and 36985?

Greatest common factor (GCF) of 36966 and 36985 is 1.

GCF(36966,36985) = 1

We will now calculate the prime factors of 36966 and 36985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36966 and 36985.

How to find the GCF of 36966 and 36985?

We will first find the prime factorization of 36966 and 36985. After we will calculate the factors of 36966 and 36985 and find the biggest common factor number .

Step-1: Prime Factorization of 36966

Prime factors of 36966 are 2, 3, 61, 101. Prime factorization of 36966 in exponential form is:

36966 = 2¹ × 3¹ × 61¹ × 101¹

Step-2: 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-3: Factors of 36966

List of positive integer factors of 36966 that divides 36966 without a remainder.

1, 2, 3, 6, 61, 101, 122, 183, 202, 303, 366, 606, 6161, 12322, 18483

Step-4: Factors of 36985

List of positive integer factors of 36985 that divides 36966 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36966 and 36985. The biggest common factor number is the GCF number.
So the greatest common factor 36966 and 36985 is 1.

Also check out the Least Common Multiple of 36966 and 36985