What is the Greatest Common Factor of 45713 and 45717?

Greatest common factor (GCF) of 45713 and 45717 is 1.

GCF(45713,45717) = 1

We will now calculate the prime factors of 45713 and 45717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45713 and 45717.

How to find the GCF of 45713 and 45717?

We will first find the prime factorization of 45713 and 45717. After we will calculate the factors of 45713 and 45717 and find the biggest common factor number .

Step-1: Prime Factorization of 45713

Prime factors of 45713 are 17, 2689. Prime factorization of 45713 in exponential form is:

45713 = 17¹ × 2689¹

Step-2: Prime Factorization of 45717

Prime factors of 45717 are 3, 7, 311. Prime factorization of 45717 in exponential form is:

45717 = 3¹ × 7² × 311¹

Step-3: Factors of 45713

List of positive integer factors of 45713 that divides 45713 without a remainder.

1, 17, 2689

Step-4: Factors of 45717

List of positive integer factors of 45717 that divides 45713 without a remainder.

1, 3, 7, 21, 49, 147, 311, 933, 2177, 6531, 15239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45713 and 45717. The biggest common factor number is the GCF number.
So the greatest common factor 45713 and 45717 is 1.

Also check out the Least Common Multiple of 45713 and 45717