What is the Greatest Common Factor of 45846 and 45857?

Greatest common factor (GCF) of 45846 and 45857 is 1.

GCF(45846,45857) = 1

We will now calculate the prime factors of 45846 and 45857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45846 and 45857.

How to find the GCF of 45846 and 45857?

We will first find the prime factorization of 45846 and 45857. After we will calculate the factors of 45846 and 45857 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 45857

Prime factors of 45857 are 7, 6551. Prime factorization of 45857 in exponential form is:

45857 = 7¹ × 6551¹

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 45857

List of positive integer factors of 45857 that divides 45846 without a remainder.

1, 7, 6551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45846 and 45857. The biggest common factor number is the GCF number.
So the greatest common factor 45846 and 45857 is 1.

Also check out the Least Common Multiple of 45846 and 45857