What is the Greatest Common Factor of 20716 and 20736?

Greatest common factor (GCF) of 20716 and 20736 is 4.

GCF(20716,20736) = 4

We will now calculate the prime factors of 20716 and 20736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20716 and 20736.

How to find the GCF of 20716 and 20736?

We will first find the prime factorization of 20716 and 20736. After we will calculate the factors of 20716 and 20736 and find the biggest common factor number .

Step-1: Prime Factorization of 20716

Prime factors of 20716 are 2, 5179. Prime factorization of 20716 in exponential form is:

20716 = 2² × 5179¹

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 20716

List of positive integer factors of 20716 that divides 20716 without a remainder.

1, 2, 4, 5179, 10358

Step-4: Factors of 20736

List of positive integer factors of 20736 that divides 20716 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 20716 and 20736. The biggest common factor number is the GCF number.
So the greatest common factor 20716 and 20736 is 4.

Also check out the Least Common Multiple of 20716 and 20736