What is the Greatest Common Factor of 45491 and 45507?

Greatest common factor (GCF) of 45491 and 45507 is 1.

GCF(45491,45507) = 1

We will now calculate the prime factors of 45491 and 45507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45491 and 45507.

How to find the GCF of 45491 and 45507?

We will first find the prime factorization of 45491 and 45507. After we will calculate the factors of 45491 and 45507 and find the biggest common factor number .

Step-1: Prime Factorization of 45491

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

45491 = 45491¹

Step-2: Prime Factorization of 45507

Prime factors of 45507 are 3, 7, 11, 197. Prime factorization of 45507 in exponential form is:

45507 = 3¹ × 7¹ × 11¹ × 197¹

Step-3: Factors of 45491

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

Step-4: Factors of 45507

List of positive integer factors of 45507 that divides 45491 without a remainder.

1, 3, 7, 11, 21, 33, 77, 197, 231, 591, 1379, 2167, 4137, 6501, 15169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45491 and 45507. The biggest common factor number is the GCF number.
So the greatest common factor 45491 and 45507 is 1.

Also check out the Least Common Multiple of 45491 and 45507