What is the Greatest Common Factor of 40664 and 40681?

Greatest common factor (GCF) of 40664 and 40681 is 17.

GCF(40664,40681) = 17

We will now calculate the prime factors of 40664 and 40681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40664 and 40681.

How to find the GCF of 40664 and 40681?

We will first find the prime factorization of 40664 and 40681. After we will calculate the factors of 40664 and 40681 and find the biggest common factor number .

Step-1: Prime Factorization of 40664

Prime factors of 40664 are 2, 13, 17, 23. Prime factorization of 40664 in exponential form is:

40664 = 2³ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 40681

Prime factors of 40681 are 17, 2393. Prime factorization of 40681 in exponential form is:

40681 = 17¹ × 2393¹

Step-3: Factors of 40664

List of positive integer factors of 40664 that divides 40664 without a remainder.

1, 2, 4, 8, 13, 17, 23, 26, 34, 46, 52, 68, 92, 104, 136, 184, 221, 299, 391, 442, 598, 782, 884, 1196, 1564, 1768, 2392, 3128, 5083, 10166, 20332

Step-4: Factors of 40681

List of positive integer factors of 40681 that divides 40664 without a remainder.

1, 17, 2393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40664 and 40681. The biggest common factor number is the GCF number.
So the greatest common factor 40664 and 40681 is 17.

Also check out the Least Common Multiple of 40664 and 40681