What is the Greatest Common Factor of 45686 and 45697?

Greatest common factor (GCF) of 45686 and 45697 is 1.

GCF(45686,45697) = 1

We will now calculate the prime factors of 45686 and 45697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45686 and 45697.

How to find the GCF of 45686 and 45697?

We will first find the prime factorization of 45686 and 45697. After we will calculate the factors of 45686 and 45697 and find the biggest common factor number .

Step-1: Prime Factorization of 45686

Prime factors of 45686 are 2, 53, 431. Prime factorization of 45686 in exponential form is:

45686 = 2¹ × 53¹ × 431¹

Step-2: Prime Factorization of 45697

Prime factors of 45697 are 45697. Prime factorization of 45697 in exponential form is:

45697 = 45697¹

Step-3: Factors of 45686

List of positive integer factors of 45686 that divides 45686 without a remainder.

1, 2, 53, 106, 431, 862, 22843

Step-4: Factors of 45697

List of positive integer factors of 45697 that divides 45686 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45686 and 45697. The biggest common factor number is the GCF number.
So the greatest common factor 45686 and 45697 is 1.

Also check out the Least Common Multiple of 45686 and 45697