What is the Greatest Common Factor of 40003 and 40023?

Greatest common factor (GCF) of 40003 and 40023 is 1.

GCF(40003,40023) = 1

We will now calculate the prime factors of 40003 and 40023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40003 and 40023.

How to find the GCF of 40003 and 40023?

We will first find the prime factorization of 40003 and 40023. After we will calculate the factors of 40003 and 40023 and find the biggest common factor number .

Step-1: Prime Factorization of 40003

Prime factors of 40003 are 109, 367. Prime factorization of 40003 in exponential form is:

40003 = 109¹ × 367¹

Step-2: Prime Factorization of 40023

Prime factors of 40023 are 3, 4447. Prime factorization of 40023 in exponential form is:

40023 = 3² × 4447¹

Step-3: Factors of 40003

List of positive integer factors of 40003 that divides 40003 without a remainder.

1, 109, 367

Step-4: Factors of 40023

List of positive integer factors of 40023 that divides 40003 without a remainder.

1, 3, 9, 4447, 13341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40003 and 40023. The biggest common factor number is the GCF number.
So the greatest common factor 40003 and 40023 is 1.

Also check out the Least Common Multiple of 40003 and 40023