What is the Greatest Common Factor of 36971 and 36982?

Greatest common factor (GCF) of 36971 and 36982 is 11.

GCF(36971,36982) = 11

We will now calculate the prime factors of 36971 and 36982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36971 and 36982.

How to find the GCF of 36971 and 36982?

We will first find the prime factorization of 36971 and 36982. After we will calculate the factors of 36971 and 36982 and find the biggest common factor number .

Step-1: Prime Factorization of 36971

Prime factors of 36971 are 11, 3361. Prime factorization of 36971 in exponential form is:

36971 = 11¹ × 3361¹

Step-2: 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-3: Factors of 36971

List of positive integer factors of 36971 that divides 36971 without a remainder.

1, 11, 3361

Step-4: Factors of 36982

List of positive integer factors of 36982 that divides 36971 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36971 and 36982. The biggest common factor number is the GCF number.
So the greatest common factor 36971 and 36982 is 11.

Also check out the Least Common Multiple of 36971 and 36982