What is the Greatest Common Factor of 40704 and 40722?

Greatest common factor (GCF) of 40704 and 40722 is 6.

GCF(40704,40722) = 6

We will now calculate the prime factors of 40704 and 40722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40704 and 40722.

How to find the GCF of 40704 and 40722?

We will first find the prime factorization of 40704 and 40722. After we will calculate the factors of 40704 and 40722 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 40722

Prime factors of 40722 are 2, 3, 11, 617. Prime factorization of 40722 in exponential form is:

40722 = 2¹ × 3¹ × 11¹ × 617¹

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 40722

List of positive integer factors of 40722 that divides 40704 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 617, 1234, 1851, 3702, 6787, 13574, 20361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40704 and 40722. The biggest common factor number is the GCF number.
So the greatest common factor 40704 and 40722 is 6.

Also check out the Least Common Multiple of 40704 and 40722