What is the Greatest Common Factor of 45837 and 45846?

Greatest common factor (GCF) of 45837 and 45846 is 9.

GCF(45837,45846) = 9

We will now calculate the prime factors of 45837 and 45846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45837 and 45846.

How to find the GCF of 45837 and 45846?

We will first find the prime factorization of 45837 and 45846. After we will calculate the factors of 45837 and 45846 and find the biggest common factor number .

Step-1: Prime Factorization of 45837

Prime factors of 45837 are 3, 11, 463. Prime factorization of 45837 in exponential form is:

45837 = 3² × 11¹ × 463¹

Step-2: Prime Factorization of 45846

Prime factors of 45846 are 2, 3, 283. Prime factorization of 45846 in exponential form is:

45846 = 2¹ × 3⁴ × 283¹

Step-3: Factors of 45837

List of positive integer factors of 45837 that divides 45837 without a remainder.

1, 3, 9, 11, 33, 99, 463, 1389, 4167, 5093, 15279

Step-4: Factors of 45846

List of positive integer factors of 45846 that divides 45837 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 283, 566, 849, 1698, 2547, 5094, 7641, 15282, 22923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45837 and 45846. The biggest common factor number is the GCF number.
So the greatest common factor 45837 and 45846 is 9.

Also check out the Least Common Multiple of 45837 and 45846