What is the Greatest Common Factor of 36367 and 36371?

Greatest common factor (GCF) of 36367 and 36371 is 1.

GCF(36367,36371) = 1

We will now calculate the prime factors of 36367 and 36371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36367 and 36371.

How to find the GCF of 36367 and 36371?

We will first find the prime factorization of 36367 and 36371. After we will calculate the factors of 36367 and 36371 and find the biggest common factor number .

Step-1: Prime Factorization of 36367

Prime factors of 36367 are 41, 887. Prime factorization of 36367 in exponential form is:

36367 = 41¹ × 887¹

Step-2: Prime Factorization of 36371

Prime factors of 36371 are 37, 983. Prime factorization of 36371 in exponential form is:

36371 = 37¹ × 983¹

Step-3: Factors of 36367

List of positive integer factors of 36367 that divides 36367 without a remainder.

1, 41, 887

Step-4: Factors of 36371

List of positive integer factors of 36371 that divides 36367 without a remainder.

1, 37, 983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36367 and 36371. The biggest common factor number is the GCF number.
So the greatest common factor 36367 and 36371 is 1.

Also check out the Least Common Multiple of 36367 and 36371