What is the Greatest Common Factor of 40704 and 40721?

Greatest common factor (GCF) of 40704 and 40721 is 1.

GCF(40704,40721) = 1

We will now calculate the prime factors of 40704 and 40721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40704 and 40721.

How to find the GCF of 40704 and 40721?

We will first find the prime factorization of 40704 and 40721. After we will calculate the factors of 40704 and 40721 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 40721

Prime factors of 40721 are 43, 947. Prime factorization of 40721 in exponential form is:

40721 = 43¹ × 947¹

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 40721

List of positive integer factors of 40721 that divides 40704 without a remainder.

1, 43, 947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40704 and 40721. The biggest common factor number is the GCF number.
So the greatest common factor 40704 and 40721 is 1.

Also check out the Least Common Multiple of 40704 and 40721