What is the Greatest Common Factor of 45742 and 45746?

Greatest common factor (GCF) of 45742 and 45746 is 2.

GCF(45742,45746) = 2

We will now calculate the prime factors of 45742 and 45746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45742 and 45746.

How to find the GCF of 45742 and 45746?

We will first find the prime factorization of 45742 and 45746. After we will calculate the factors of 45742 and 45746 and find the biggest common factor number .

Step-1: Prime Factorization of 45742

Prime factors of 45742 are 2, 22871. Prime factorization of 45742 in exponential form is:

45742 = 2¹ × 22871¹

Step-2: Prime Factorization of 45746

Prime factors of 45746 are 2, 89, 257. Prime factorization of 45746 in exponential form is:

45746 = 2¹ × 89¹ × 257¹

Step-3: Factors of 45742

List of positive integer factors of 45742 that divides 45742 without a remainder.

1, 2, 22871

Step-4: Factors of 45746

List of positive integer factors of 45746 that divides 45742 without a remainder.

1, 2, 89, 178, 257, 514, 22873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45742 and 45746. The biggest common factor number is the GCF number.
So the greatest common factor 45742 and 45746 is 2.

Also check out the Least Common Multiple of 45742 and 45746