What is the Greatest Common Factor of 40664 and 40672?

Greatest common factor (GCF) of 40664 and 40672 is 8.

GCF(40664,40672) = 8

We will now calculate the prime factors of 40664 and 40672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40664 and 40672.

How to find the GCF of 40664 and 40672?

We will first find the prime factorization of 40664 and 40672. After we will calculate the factors of 40664 and 40672 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 40672

Prime factors of 40672 are 2, 31, 41. Prime factorization of 40672 in exponential form is:

40672 = 2⁵ × 31¹ × 41¹

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 40672

List of positive integer factors of 40672 that divides 40664 without a remainder.

1, 2, 4, 8, 16, 31, 32, 41, 62, 82, 124, 164, 248, 328, 496, 656, 992, 1271, 1312, 2542, 5084, 10168, 20336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40664 and 40672. The biggest common factor number is the GCF number.
So the greatest common factor 40664 and 40672 is 8.

Also check out the Least Common Multiple of 40664 and 40672