What is the Greatest Common Factor of 45700 and 45706?

Greatest common factor (GCF) of 45700 and 45706 is 2.

GCF(45700,45706) = 2

We will now calculate the prime factors of 45700 and 45706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45700 and 45706.

How to find the GCF of 45700 and 45706?

We will first find the prime factorization of 45700 and 45706. After we will calculate the factors of 45700 and 45706 and find the biggest common factor number .

Step-1: Prime Factorization of 45700

Prime factors of 45700 are 2, 5, 457. Prime factorization of 45700 in exponential form is:

45700 = 2² × 5² × 457¹

Step-2: Prime Factorization of 45706

Prime factors of 45706 are 2, 22853. Prime factorization of 45706 in exponential form is:

45706 = 2¹ × 22853¹

Step-3: Factors of 45700

List of positive integer factors of 45700 that divides 45700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 457, 914, 1828, 2285, 4570, 9140, 11425, 22850

Step-4: Factors of 45706

List of positive integer factors of 45706 that divides 45700 without a remainder.

1, 2, 22853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45700 and 45706. The biggest common factor number is the GCF number.
So the greatest common factor 45700 and 45706 is 2.

Also check out the Least Common Multiple of 45700 and 45706