What is the Greatest Common Factor of 20716 and 20724?

Greatest common factor (GCF) of 20716 and 20724 is 4.

GCF(20716,20724) = 4

We will now calculate the prime factors of 20716 and 20724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20716 and 20724.

How to find the GCF of 20716 and 20724?

We will first find the prime factorization of 20716 and 20724. After we will calculate the factors of 20716 and 20724 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 20724

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

20724 = 2² × 3¹ × 11¹ × 157¹

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 20724

List of positive integer factors of 20724 that divides 20716 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20716 and 20724. The biggest common factor number is the GCF number.
So the greatest common factor 20716 and 20724 is 4.

Also check out the Least Common Multiple of 20716 and 20724