What is the Greatest Common Factor of 45846 and 45861?

Greatest common factor (GCF) of 45846 and 45861 is 3.

GCF(45846,45861) = 3

We will now calculate the prime factors of 45846 and 45861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45846 and 45861.

How to find the GCF of 45846 and 45861?

We will first find the prime factorization of 45846 and 45861. After we will calculate the factors of 45846 and 45861 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45861

Prime factors of 45861 are 3, 15287. Prime factorization of 45861 in exponential form is:

45861 = 3¹ × 15287¹

Step-3: Factors of 45846

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

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

Step-4: Factors of 45861

List of positive integer factors of 45861 that divides 45846 without a remainder.

1, 3, 15287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45846 and 45861. The biggest common factor number is the GCF number.
So the greatest common factor 45846 and 45861 is 3.

Also check out the Least Common Multiple of 45846 and 45861