What is the Greatest Common Factor of 40704 and 40718?

Greatest common factor (GCF) of 40704 and 40718 is 2.

GCF(40704,40718) = 2

We will now calculate the prime factors of 40704 and 40718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40704 and 40718.

How to find the GCF of 40704 and 40718?

We will first find the prime factorization of 40704 and 40718. After we will calculate the factors of 40704 and 40718 and find the biggest common factor number .

Step-1: Prime Factorization of 40704

Prime factors of 40704 are 2, 3, 53. Prime factorization of 40704 in exponential form is:

40704 = 2⁸ × 3¹ × 53¹

Step-2: Prime Factorization of 40718

Prime factors of 40718 are 2, 20359. Prime factorization of 40718 in exponential form is:

40718 = 2¹ × 20359¹

Step-3: Factors of 40704

List of positive integer factors of 40704 that divides 40704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 128, 159, 192, 212, 256, 318, 384, 424, 636, 768, 848, 1272, 1696, 2544, 3392, 5088, 6784, 10176, 13568, 20352

Step-4: Factors of 40718

List of positive integer factors of 40718 that divides 40704 without a remainder.

1, 2, 20359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40704 and 40718. The biggest common factor number is the GCF number.
So the greatest common factor 40704 and 40718 is 2.

Also check out the Least Common Multiple of 40704 and 40718