What is the Greatest Common Factor of 36971 and 36976?

Greatest common factor (GCF) of 36971 and 36976 is 1.

GCF(36971,36976) = 1

We will now calculate the prime factors of 36971 and 36976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36971 and 36976.

How to find the GCF of 36971 and 36976?

We will first find the prime factorization of 36971 and 36976. After we will calculate the factors of 36971 and 36976 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 36976

Prime factors of 36976 are 2, 2311. Prime factorization of 36976 in exponential form is:

36976 = 2⁴ × 2311¹

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 36976

List of positive integer factors of 36976 that divides 36971 without a remainder.

1, 2, 4, 8, 16, 2311, 4622, 9244, 18488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36971 and 36976. The biggest common factor number is the GCF number.
So the greatest common factor 36971 and 36976 is 1.

Also check out the Least Common Multiple of 36971 and 36976