What is the Greatest Common Factor of 40327 and 40334?

Greatest common factor (GCF) of 40327 and 40334 is 7.

GCF(40327,40334) = 7

We will now calculate the prime factors of 40327 and 40334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40327 and 40334.

How to find the GCF of 40327 and 40334?

We will first find the prime factorization of 40327 and 40334. After we will calculate the factors of 40327 and 40334 and find the biggest common factor number .

Step-1: Prime Factorization of 40327

Prime factors of 40327 are 7, 823. Prime factorization of 40327 in exponential form is:

40327 = 7² × 823¹

Step-2: 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-3: Factors of 40327

List of positive integer factors of 40327 that divides 40327 without a remainder.

1, 7, 49, 823, 5761

Step-4: Factors of 40334

List of positive integer factors of 40334 that divides 40327 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40327 and 40334. The biggest common factor number is the GCF number.
So the greatest common factor 40327 and 40334 is 7.

Also check out the Least Common Multiple of 40327 and 40334