What is the Greatest Common Factor of 40704 and 40714?

Greatest common factor (GCF) of 40704 and 40714 is 2.

GCF(40704,40714) = 2

We will now calculate the prime factors of 40704 and 40714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40704 and 40714.

How to find the GCF of 40704 and 40714?

We will first find the prime factorization of 40704 and 40714. After we will calculate the factors of 40704 and 40714 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 40714

Prime factors of 40714 are 2, 20357. Prime factorization of 40714 in exponential form is:

40714 = 2¹ × 20357¹

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 40714

List of positive integer factors of 40714 that divides 40704 without a remainder.

1, 2, 20357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40704 and 40714. The biggest common factor number is the GCF number.
So the greatest common factor 40704 and 40714 is 2.

Also check out the Least Common Multiple of 40704 and 40714