What is the Greatest Common Factor of 40704 and 40723?

Greatest common factor (GCF) of 40704 and 40723 is 1.

GCF(40704,40723) = 1

We will now calculate the prime factors of 40704 and 40723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40704 and 40723.

How to find the GCF of 40704 and 40723?

We will first find the prime factorization of 40704 and 40723. After we will calculate the factors of 40704 and 40723 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 40723

Prime factors of 40723 are 193, 211. Prime factorization of 40723 in exponential form is:

40723 = 193¹ × 211¹

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 40723

List of positive integer factors of 40723 that divides 40704 without a remainder.

1, 193, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40704 and 40723. The biggest common factor number is the GCF number.
So the greatest common factor 40704 and 40723 is 1.

Also check out the Least Common Multiple of 40704 and 40723