What is the Greatest Common Factor of 40485 and 40503?

Greatest common factor (GCF) of 40485 and 40503 is 3.

GCF(40485,40503) = 3

We will now calculate the prime factors of 40485 and 40503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40485 and 40503.

How to find the GCF of 40485 and 40503?

We will first find the prime factorization of 40485 and 40503. After we will calculate the factors of 40485 and 40503 and find the biggest common factor number .

Step-1: Prime Factorization of 40485

Prime factors of 40485 are 3, 5, 2699. Prime factorization of 40485 in exponential form is:

40485 = 3¹ × 5¹ × 2699¹

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 40485

List of positive integer factors of 40485 that divides 40485 without a remainder.

1, 3, 5, 15, 2699, 8097, 13495

Step-4: Factors of 40503

List of positive integer factors of 40503 that divides 40485 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40485 and 40503. The biggest common factor number is the GCF number.
So the greatest common factor 40485 and 40503 is 3.

Also check out the Least Common Multiple of 40485 and 40503