What is the Greatest Common Factor of 40409 and 40424?

Greatest common factor (GCF) of 40409 and 40424 is 1.

GCF(40409,40424) = 1

We will now calculate the prime factors of 40409 and 40424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40409 and 40424.

How to find the GCF of 40409 and 40424?

We will first find the prime factorization of 40409 and 40424. After we will calculate the factors of 40409 and 40424 and find the biggest common factor number .

Step-1: Prime Factorization of 40409

Prime factors of 40409 are 17, 2377. Prime factorization of 40409 in exponential form is:

40409 = 17¹ × 2377¹

Step-2: Prime Factorization of 40424

Prime factors of 40424 are 2, 31, 163. Prime factorization of 40424 in exponential form is:

40424 = 2³ × 31¹ × 163¹

Step-3: Factors of 40409

List of positive integer factors of 40409 that divides 40409 without a remainder.

1, 17, 2377

Step-4: Factors of 40424

List of positive integer factors of 40424 that divides 40409 without a remainder.

1, 2, 4, 8, 31, 62, 124, 163, 248, 326, 652, 1304, 5053, 10106, 20212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40409 and 40424. The biggest common factor number is the GCF number.
So the greatest common factor 40409 and 40424 is 1.

Also check out the Least Common Multiple of 40409 and 40424