What is the Greatest Common Factor of 36849 and 36858?

Greatest common factor (GCF) of 36849 and 36858 is 3.

GCF(36849,36858) = 3

We will now calculate the prime factors of 36849 and 36858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36849 and 36858.

How to find the GCF of 36849 and 36858?

We will first find the prime factorization of 36849 and 36858. After we will calculate the factors of 36849 and 36858 and find the biggest common factor number .

Step-1: Prime Factorization of 36849

Prime factors of 36849 are 3, 71, 173. Prime factorization of 36849 in exponential form is:

36849 = 3¹ × 71¹ × 173¹

Step-2: Prime Factorization of 36858

Prime factors of 36858 are 2, 3, 6143. Prime factorization of 36858 in exponential form is:

36858 = 2¹ × 3¹ × 6143¹

Step-3: Factors of 36849

List of positive integer factors of 36849 that divides 36849 without a remainder.

1, 3, 71, 173, 213, 519, 12283

Step-4: Factors of 36858

List of positive integer factors of 36858 that divides 36849 without a remainder.

1, 2, 3, 6, 6143, 12286, 18429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36849 and 36858. The biggest common factor number is the GCF number.
So the greatest common factor 36849 and 36858 is 3.

Also check out the Least Common Multiple of 36849 and 36858