What is the Greatest Common Factor of 40408 and 40414?

Greatest common factor (GCF) of 40408 and 40414 is 2.

GCF(40408,40414) = 2

We will now calculate the prime factors of 40408 and 40414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40408 and 40414.

How to find the GCF of 40408 and 40414?

We will first find the prime factorization of 40408 and 40414. After we will calculate the factors of 40408 and 40414 and find the biggest common factor number .

Step-1: Prime Factorization of 40408

Prime factors of 40408 are 2, 5051. Prime factorization of 40408 in exponential form is:

40408 = 2³ × 5051¹

Step-2: Prime Factorization of 40414

Prime factors of 40414 are 2, 11, 167. Prime factorization of 40414 in exponential form is:

40414 = 2¹ × 11² × 167¹

Step-3: Factors of 40408

List of positive integer factors of 40408 that divides 40408 without a remainder.

1, 2, 4, 8, 5051, 10102, 20204

Step-4: Factors of 40414

List of positive integer factors of 40414 that divides 40408 without a remainder.

1, 2, 11, 22, 121, 167, 242, 334, 1837, 3674, 20207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40408 and 40414. The biggest common factor number is the GCF number.
So the greatest common factor 40408 and 40414 is 2.

Also check out the Least Common Multiple of 40408 and 40414