What is the Greatest Common Factor of 40917 and 40926?

Greatest common factor (GCF) of 40917 and 40926 is 3.

GCF(40917,40926) = 3

We will now calculate the prime factors of 40917 and 40926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40917 and 40926.

How to find the GCF of 40917 and 40926?

We will first find the prime factorization of 40917 and 40926. After we will calculate the factors of 40917 and 40926 and find the biggest common factor number .

Step-1: Prime Factorization of 40917

Prime factors of 40917 are 3, 23, 593. Prime factorization of 40917 in exponential form is:

40917 = 3¹ × 23¹ × 593¹

Step-2: Prime Factorization of 40926

Prime factors of 40926 are 2, 3, 19, 359. Prime factorization of 40926 in exponential form is:

40926 = 2¹ × 3¹ × 19¹ × 359¹

Step-3: Factors of 40917

List of positive integer factors of 40917 that divides 40917 without a remainder.

1, 3, 23, 69, 593, 1779, 13639

Step-4: Factors of 40926

List of positive integer factors of 40926 that divides 40917 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 359, 718, 1077, 2154, 6821, 13642, 20463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40917 and 40926. The biggest common factor number is the GCF number.
So the greatest common factor 40917 and 40926 is 3.

Also check out the Least Common Multiple of 40917 and 40926