What is the Greatest Common Factor of 36941 and 36954?

Greatest common factor (GCF) of 36941 and 36954 is 1.

GCF(36941,36954) = 1

We will now calculate the prime factors of 36941 and 36954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36941 and 36954.

How to find the GCF of 36941 and 36954?

We will first find the prime factorization of 36941 and 36954. After we will calculate the factors of 36941 and 36954 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36954

Prime factors of 36954 are 2, 3, 2053. Prime factorization of 36954 in exponential form is:

36954 = 2¹ × 3² × 2053¹

Step-3: Factors of 36941

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

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

Step-4: Factors of 36954

List of positive integer factors of 36954 that divides 36941 without a remainder.

1, 2, 3, 6, 9, 18, 2053, 4106, 6159, 12318, 18477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36941 and 36954. The biggest common factor number is the GCF number.
So the greatest common factor 36941 and 36954 is 1.

Also check out the Least Common Multiple of 36941 and 36954