What is the Greatest Common Factor of 36982 and 36996?

Greatest common factor (GCF) of 36982 and 36996 is 2.

GCF(36982,36996) = 2

We will now calculate the prime factors of 36982 and 36996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36982 and 36996.

How to find the GCF of 36982 and 36996?

We will first find the prime factorization of 36982 and 36996. After we will calculate the factors of 36982 and 36996 and find the biggest common factor number .

Step-1: Prime Factorization of 36982

Prime factors of 36982 are 2, 11, 41. Prime factorization of 36982 in exponential form is:

36982 = 2¹ × 11¹ × 41²

Step-2: Prime Factorization of 36996

Prime factors of 36996 are 2, 3, 3083. Prime factorization of 36996 in exponential form is:

36996 = 2² × 3¹ × 3083¹

Step-3: Factors of 36982

List of positive integer factors of 36982 that divides 36982 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902, 1681, 3362, 18491

Step-4: Factors of 36996

List of positive integer factors of 36996 that divides 36982 without a remainder.

1, 2, 3, 4, 6, 12, 3083, 6166, 9249, 12332, 18498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36982 and 36996. The biggest common factor number is the GCF number.
So the greatest common factor 36982 and 36996 is 2.

Also check out the Least Common Multiple of 36982 and 36996