What is the Greatest Common Factor of 36845 and 36859?

Greatest common factor (GCF) of 36845 and 36859 is 1.

GCF(36845,36859) = 1

We will now calculate the prime factors of 36845 and 36859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36845 and 36859.

How to find the GCF of 36845 and 36859?

We will first find the prime factorization of 36845 and 36859. After we will calculate the factors of 36845 and 36859 and find the biggest common factor number .

Step-1: Prime Factorization of 36845

Prime factors of 36845 are 5, 7369. Prime factorization of 36845 in exponential form is:

36845 = 5¹ × 7369¹

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 36845

List of positive integer factors of 36845 that divides 36845 without a remainder.

1, 5, 7369

Step-4: Factors of 36859

List of positive integer factors of 36859 that divides 36845 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36845 and 36859. The biggest common factor number is the GCF number.
So the greatest common factor 36845 and 36859 is 1.

Also check out the Least Common Multiple of 36845 and 36859