What is the Greatest Common Factor of 46497 and 46503?

Greatest common factor (GCF) of 46497 and 46503 is 3.

GCF(46497,46503) = 3

We will now calculate the prime factors of 46497 and 46503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46497 and 46503.

How to find the GCF of 46497 and 46503?

We will first find the prime factorization of 46497 and 46503. After we will calculate the factors of 46497 and 46503 and find the biggest common factor number .

Step-1: Prime Factorization of 46497

Prime factors of 46497 are 3, 11, 1409. Prime factorization of 46497 in exponential form is:

46497 = 3¹ × 11¹ × 1409¹

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 46497

List of positive integer factors of 46497 that divides 46497 without a remainder.

1, 3, 11, 33, 1409, 4227, 15499

Step-4: Factors of 46503

List of positive integer factors of 46503 that divides 46497 without a remainder.

1, 3, 9, 5167, 15501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46497 and 46503. The biggest common factor number is the GCF number.
So the greatest common factor 46497 and 46503 is 3.

Also check out the Least Common Multiple of 46497 and 46503