What is the Greatest Common Factor of 45331 and 45348?

Greatest common factor (GCF) of 45331 and 45348 is 1.

GCF(45331,45348) = 1

We will now calculate the prime factors of 45331 and 45348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45331 and 45348.

How to find the GCF of 45331 and 45348?

We will first find the prime factorization of 45331 and 45348. After we will calculate the factors of 45331 and 45348 and find the biggest common factor number .

Step-1: Prime Factorization of 45331

Prime factors of 45331 are 11, 13, 317. Prime factorization of 45331 in exponential form is:

45331 = 11¹ × 13¹ × 317¹

Step-2: Prime Factorization of 45348

Prime factors of 45348 are 2, 3, 3779. Prime factorization of 45348 in exponential form is:

45348 = 2² × 3¹ × 3779¹

Step-3: Factors of 45331

List of positive integer factors of 45331 that divides 45331 without a remainder.

1, 11, 13, 143, 317, 3487, 4121

Step-4: Factors of 45348

List of positive integer factors of 45348 that divides 45331 without a remainder.

1, 2, 3, 4, 6, 12, 3779, 7558, 11337, 15116, 22674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45331 and 45348. The biggest common factor number is the GCF number.
So the greatest common factor 45331 and 45348 is 1.

Also check out the Least Common Multiple of 45331 and 45348