What is the Greatest Common Factor of 20718 and 20736?

Greatest common factor (GCF) of 20718 and 20736 is 18.

GCF(20718,20736) = 18

We will now calculate the prime factors of 20718 and 20736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20718 and 20736.

How to find the GCF of 20718 and 20736?

We will first find the prime factorization of 20718 and 20736. After we will calculate the factors of 20718 and 20736 and find the biggest common factor number .

Step-1: Prime Factorization of 20718

Prime factors of 20718 are 2, 3, 1151. Prime factorization of 20718 in exponential form is:

20718 = 2¹ × 3² × 1151¹

Step-2: Prime Factorization of 20736

Prime factors of 20736 are 2, 3. Prime factorization of 20736 in exponential form is:

20736 = 2⁸ × 3⁴

Step-3: Factors of 20718

List of positive integer factors of 20718 that divides 20718 without a remainder.

1, 2, 3, 6, 9, 18, 1151, 2302, 3453, 6906, 10359

Step-4: Factors of 20736

List of positive integer factors of 20736 that divides 20718 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 256, 288, 324, 384, 432, 576, 648, 768, 864, 1152, 1296, 1728, 2304, 2592, 3456, 5184, 6912, 10368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20718 and 20736. The biggest common factor number is the GCF number.
So the greatest common factor 20718 and 20736 is 18.

Also check out the Least Common Multiple of 20718 and 20736