What is the Greatest Common Factor of 40309 and 40326?

Greatest common factor (GCF) of 40309 and 40326 is 1.

GCF(40309,40326) = 1

We will now calculate the prime factors of 40309 and 40326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40309 and 40326.

How to find the GCF of 40309 and 40326?

We will first find the prime factorization of 40309 and 40326. After we will calculate the factors of 40309 and 40326 and find the biggest common factor number .

Step-1: Prime Factorization of 40309

Prime factors of 40309 are 173, 233. Prime factorization of 40309 in exponential form is:

40309 = 173¹ × 233¹

Step-2: Prime Factorization of 40326

Prime factors of 40326 are 2, 3, 11, 13, 47. Prime factorization of 40326 in exponential form is:

40326 = 2¹ × 3¹ × 11¹ × 13¹ × 47¹

Step-3: Factors of 40309

List of positive integer factors of 40309 that divides 40309 without a remainder.

1, 173, 233

Step-4: Factors of 40326

List of positive integer factors of 40326 that divides 40309 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 47, 66, 78, 94, 141, 143, 282, 286, 429, 517, 611, 858, 1034, 1222, 1551, 1833, 3102, 3666, 6721, 13442, 20163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40309 and 40326. The biggest common factor number is the GCF number.
So the greatest common factor 40309 and 40326 is 1.

Also check out the Least Common Multiple of 40309 and 40326