What is the Greatest Common Factor of 40414 and 40434?

Greatest common factor (GCF) of 40414 and 40434 is 2.

GCF(40414,40434) = 2

We will now calculate the prime factors of 40414 and 40434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40414 and 40434.

How to find the GCF of 40414 and 40434?

We will first find the prime factorization of 40414 and 40434. After we will calculate the factors of 40414 and 40434 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40434

Prime factors of 40434 are 2, 3, 23, 293. Prime factorization of 40434 in exponential form is:

40434 = 2¹ × 3¹ × 23¹ × 293¹

Step-3: Factors of 40414

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

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

Step-4: Factors of 40434

List of positive integer factors of 40434 that divides 40414 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 293, 586, 879, 1758, 6739, 13478, 20217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40414 and 40434. The biggest common factor number is the GCF number.
So the greatest common factor 40414 and 40434 is 2.

Also check out the Least Common Multiple of 40414 and 40434