What is the Greatest Common Factor of 40319 and 40334?

Greatest common factor (GCF) of 40319 and 40334 is 1.

GCF(40319,40334) = 1

We will now calculate the prime factors of 40319 and 40334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40319 and 40334.

How to find the GCF of 40319 and 40334?

We will first find the prime factorization of 40319 and 40334. After we will calculate the factors of 40319 and 40334 and find the biggest common factor number .

Step-1: Prime Factorization of 40319

Prime factors of 40319 are 23, 1753. Prime factorization of 40319 in exponential form is:

40319 = 23¹ × 1753¹

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 40319

List of positive integer factors of 40319 that divides 40319 without a remainder.

1, 23, 1753

Step-4: Factors of 40334

List of positive integer factors of 40334 that divides 40319 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 40319 and 40334. The biggest common factor number is the GCF number.
So the greatest common factor 40319 and 40334 is 1.

Also check out the Least Common Multiple of 40319 and 40334