What is the Greatest Common Factor of 46491 and 46503?

Greatest common factor (GCF) of 46491 and 46503 is 3.

GCF(46491,46503) = 3

We will now calculate the prime factors of 46491 and 46503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46491 and 46503.

How to find the GCF of 46491 and 46503?

We will first find the prime factorization of 46491 and 46503. After we will calculate the factors of 46491 and 46503 and find the biggest common factor number .

Step-1: Prime Factorization of 46491

Prime factors of 46491 are 3, 15497. Prime factorization of 46491 in exponential form is:

46491 = 3¹ × 15497¹

Step-2: Prime Factorization of 46503

Prime factors of 46503 are 3, 5167. Prime factorization of 46503 in exponential form is:

46503 = 3² × 5167¹

Step-3: Factors of 46491

List of positive integer factors of 46491 that divides 46491 without a remainder.

1, 3, 15497

Step-4: Factors of 46503

List of positive integer factors of 46503 that divides 46491 without a remainder.

1, 3, 9, 5167, 15501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46491 and 46503. The biggest common factor number is the GCF number.
So the greatest common factor 46491 and 46503 is 3.

Also check out the Least Common Multiple of 46491 and 46503