What is the Greatest Common Factor of 40334 and 40340?

Greatest common factor (GCF) of 40334 and 40340 is 2.

GCF(40334,40340) = 2

We will now calculate the prime factors of 40334 and 40340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40334 and 40340.

How to find the GCF of 40334 and 40340?

We will first find the prime factorization of 40334 and 40340. After we will calculate the factors of 40334 and 40340 and find the biggest common factor number .

Step-1: Prime Factorization of 40334

Prime factors of 40334 are 2, 7, 43, 67. Prime factorization of 40334 in exponential form is:

40334 = 2¹ × 7¹ × 43¹ × 67¹

Step-2: Prime Factorization of 40340

Prime factors of 40340 are 2, 5, 2017. Prime factorization of 40340 in exponential form is:

40340 = 2² × 5¹ × 2017¹

Step-3: Factors of 40334

List of positive integer factors of 40334 that divides 40334 without a remainder.

1, 2, 7, 14, 43, 67, 86, 134, 301, 469, 602, 938, 2881, 5762, 20167

Step-4: Factors of 40340

List of positive integer factors of 40340 that divides 40334 without a remainder.

1, 2, 4, 5, 10, 20, 2017, 4034, 8068, 10085, 20170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40334 and 40340. The biggest common factor number is the GCF number.
So the greatest common factor 40334 and 40340 is 2.

Also check out the Least Common Multiple of 40334 and 40340