What is the Greatest Common Factor of 40497 and 40503?

Greatest common factor (GCF) of 40497 and 40503 is 3.

GCF(40497,40503) = 3

We will now calculate the prime factors of 40497 and 40503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40497 and 40503.

How to find the GCF of 40497 and 40503?

We will first find the prime factorization of 40497 and 40503. After we will calculate the factors of 40497 and 40503 and find the biggest common factor number .

Step-1: Prime Factorization of 40497

Prime factors of 40497 are 3, 13499. Prime factorization of 40497 in exponential form is:

40497 = 3¹ × 13499¹

Step-2: Prime Factorization of 40503

Prime factors of 40503 are 3, 23, 587. Prime factorization of 40503 in exponential form is:

40503 = 3¹ × 23¹ × 587¹

Step-3: Factors of 40497

List of positive integer factors of 40497 that divides 40497 without a remainder.

1, 3, 13499

Step-4: Factors of 40503

List of positive integer factors of 40503 that divides 40497 without a remainder.

1, 3, 23, 69, 587, 1761, 13501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40497 and 40503. The biggest common factor number is the GCF number.
So the greatest common factor 40497 and 40503 is 3.

Also check out the Least Common Multiple of 40497 and 40503