What is the Greatest Common Factor of 20724 and 20736?

Greatest common factor (GCF) of 20724 and 20736 is 12.

GCF(20724,20736) = 12

We will now calculate the prime factors of 20724 and 20736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20724 and 20736.

How to find the GCF of 20724 and 20736?

We will first find the prime factorization of 20724 and 20736. After we will calculate the factors of 20724 and 20736 and find the biggest common factor number .

Step-1: Prime Factorization of 20724

Prime factors of 20724 are 2, 3, 11, 157. Prime factorization of 20724 in exponential form is:

20724 = 2² × 3¹ × 11¹ × 157¹

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 20724

List of positive integer factors of 20724 that divides 20724 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 157, 314, 471, 628, 942, 1727, 1884, 3454, 5181, 6908, 10362

Step-4: Factors of 20736

List of positive integer factors of 20736 that divides 20724 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 20724 and 20736. The biggest common factor number is the GCF number.
So the greatest common factor 20724 and 20736 is 12.

Also check out the Least Common Multiple of 20724 and 20736