What is the Greatest Common Factor of 45858 and 45873?

Greatest common factor (GCF) of 45858 and 45873 is 3.

GCF(45858,45873) = 3

We will now calculate the prime factors of 45858 and 45873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45858 and 45873.

How to find the GCF of 45858 and 45873?

We will first find the prime factorization of 45858 and 45873. After we will calculate the factors of 45858 and 45873 and find the biggest common factor number .

Step-1: Prime Factorization of 45858

Prime factors of 45858 are 2, 3, 7643. Prime factorization of 45858 in exponential form is:

45858 = 2¹ × 3¹ × 7643¹

Step-2: Prime Factorization of 45873

Prime factors of 45873 are 3, 1699. Prime factorization of 45873 in exponential form is:

45873 = 3³ × 1699¹

Step-3: Factors of 45858

List of positive integer factors of 45858 that divides 45858 without a remainder.

1, 2, 3, 6, 7643, 15286, 22929

Step-4: Factors of 45873

List of positive integer factors of 45873 that divides 45858 without a remainder.

1, 3, 9, 27, 1699, 5097, 15291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45858 and 45873. The biggest common factor number is the GCF number.
So the greatest common factor 45858 and 45873 is 3.

Also check out the Least Common Multiple of 45858 and 45873