What is the Greatest Common Factor of 36927 and 36941?

Greatest common factor (GCF) of 36927 and 36941 is 1.

GCF(36927,36941) = 1

We will now calculate the prime factors of 36927 and 36941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36927 and 36941.

How to find the GCF of 36927 and 36941?

We will first find the prime factorization of 36927 and 36941. After we will calculate the factors of 36927 and 36941 and find the biggest common factor number .

Step-1: Prime Factorization of 36927

Prime factors of 36927 are 3, 11, 373. Prime factorization of 36927 in exponential form is:

36927 = 3² × 11¹ × 373¹

Step-2: Prime Factorization of 36941

Prime factors of 36941 are 17, 41, 53. Prime factorization of 36941 in exponential form is:

36941 = 17¹ × 41¹ × 53¹

Step-3: Factors of 36927

List of positive integer factors of 36927 that divides 36927 without a remainder.

1, 3, 9, 11, 33, 99, 373, 1119, 3357, 4103, 12309

Step-4: Factors of 36941

List of positive integer factors of 36941 that divides 36927 without a remainder.

1, 17, 41, 53, 697, 901, 2173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36927 and 36941. The biggest common factor number is the GCF number.
So the greatest common factor 36927 and 36941 is 1.

Also check out the Least Common Multiple of 36927 and 36941