What is the Greatest Common Factor of 45471 and 45491?

Greatest common factor (GCF) of 45471 and 45491 is 1.

GCF(45471,45491) = 1

We will now calculate the prime factors of 45471 and 45491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45471 and 45491.

How to find the GCF of 45471 and 45491?

We will first find the prime factorization of 45471 and 45491. After we will calculate the factors of 45471 and 45491 and find the biggest common factor number .

Step-1: Prime Factorization of 45471

Prime factors of 45471 are 3, 23, 659. Prime factorization of 45471 in exponential form is:

45471 = 3¹ × 23¹ × 659¹

Step-2: Prime Factorization of 45491

Prime factors of 45491 are 45491. Prime factorization of 45491 in exponential form is:

45491 = 45491¹

Step-3: Factors of 45471

List of positive integer factors of 45471 that divides 45471 without a remainder.

1, 3, 23, 69, 659, 1977, 15157

Step-4: Factors of 45491

List of positive integer factors of 45491 that divides 45471 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45471 and 45491. The biggest common factor number is the GCF number.
So the greatest common factor 45471 and 45491 is 1.

Also check out the Least Common Multiple of 45471 and 45491