What is the Greatest Common Factor of 40403 and 40414?

Greatest common factor (GCF) of 40403 and 40414 is 11.

GCF(40403,40414) = 11

We will now calculate the prime factors of 40403 and 40414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40403 and 40414.

How to find the GCF of 40403 and 40414?

We will first find the prime factorization of 40403 and 40414. After we will calculate the factors of 40403 and 40414 and find the biggest common factor number .

Step-1: Prime Factorization of 40403

Prime factors of 40403 are 11, 3673. Prime factorization of 40403 in exponential form is:

40403 = 11¹ × 3673¹

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 40403

List of positive integer factors of 40403 that divides 40403 without a remainder.

1, 11, 3673

Step-4: Factors of 40414

List of positive integer factors of 40414 that divides 40403 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 40403 and 40414. The biggest common factor number is the GCF number.
So the greatest common factor 40403 and 40414 is 11.

Also check out the Least Common Multiple of 40403 and 40414