What is the Greatest Common Factor of 45317 and 45332?

Greatest common factor (GCF) of 45317 and 45332 is 1.

GCF(45317,45332) = 1

We will now calculate the prime factors of 45317 and 45332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45317 and 45332.

How to find the GCF of 45317 and 45332?

We will first find the prime factorization of 45317 and 45332. After we will calculate the factors of 45317 and 45332 and find the biggest common factor number .

Step-1: Prime Factorization of 45317

Prime factors of 45317 are 45317. Prime factorization of 45317 in exponential form is:

45317 = 45317¹

Step-2: Prime Factorization of 45332

Prime factors of 45332 are 2, 7, 1619. Prime factorization of 45332 in exponential form is:

45332 = 2² × 7¹ × 1619¹

Step-3: Factors of 45317

List of positive integer factors of 45317 that divides 45317 without a remainder.

Step-4: Factors of 45332

List of positive integer factors of 45332 that divides 45317 without a remainder.

1, 2, 4, 7, 14, 28, 1619, 3238, 6476, 11333, 22666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45317 and 45332. The biggest common factor number is the GCF number.
So the greatest common factor 45317 and 45332 is 1.

Also check out the Least Common Multiple of 45317 and 45332