What is the Greatest Common Factor of 36844 and 36859?

Greatest common factor (GCF) of 36844 and 36859 is 1.

GCF(36844,36859) = 1

We will now calculate the prime factors of 36844 and 36859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36844 and 36859.

How to find the GCF of 36844 and 36859?

We will first find the prime factorization of 36844 and 36859. After we will calculate the factors of 36844 and 36859 and find the biggest common factor number .

Step-1: Prime Factorization of 36844

Prime factors of 36844 are 2, 61, 151. Prime factorization of 36844 in exponential form is:

36844 = 2² × 61¹ × 151¹

Step-2: Prime Factorization of 36859

Prime factors of 36859 are 29, 31, 41. Prime factorization of 36859 in exponential form is:

36859 = 29¹ × 31¹ × 41¹

Step-3: Factors of 36844

List of positive integer factors of 36844 that divides 36844 without a remainder.

1, 2, 4, 61, 122, 151, 244, 302, 604, 9211, 18422

Step-4: Factors of 36859

List of positive integer factors of 36859 that divides 36844 without a remainder.

1, 29, 31, 41, 899, 1189, 1271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36844 and 36859. The biggest common factor number is the GCF number.
So the greatest common factor 36844 and 36859 is 1.

Also check out the Least Common Multiple of 36844 and 36859