What is the Greatest Common Factor of 45846 and 45863?

Greatest common factor (GCF) of 45846 and 45863 is 1.

GCF(45846,45863) = 1

We will now calculate the prime factors of 45846 and 45863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45846 and 45863.

How to find the GCF of 45846 and 45863?

We will first find the prime factorization of 45846 and 45863. After we will calculate the factors of 45846 and 45863 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 45863

Prime factors of 45863 are 45863. Prime factorization of 45863 in exponential form is:

45863 = 45863¹

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 45863

List of positive integer factors of 45863 that divides 45846 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45846 and 45863. The biggest common factor number is the GCF number.
So the greatest common factor 45846 and 45863 is 1.

Also check out the Least Common Multiple of 45846 and 45863