What is the Greatest Common Factor of 20704 and 20722?

Greatest common factor (GCF) of 20704 and 20722 is 2.

GCF(20704,20722) = 2

We will now calculate the prime factors of 20704 and 20722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20704 and 20722.

How to find the GCF of 20704 and 20722?

We will first find the prime factorization of 20704 and 20722. After we will calculate the factors of 20704 and 20722 and find the biggest common factor number .

Step-1: Prime Factorization of 20704

Prime factors of 20704 are 2, 647. Prime factorization of 20704 in exponential form is:

20704 = 2⁵ × 647¹

Step-2: Prime Factorization of 20722

Prime factors of 20722 are 2, 13, 797. Prime factorization of 20722 in exponential form is:

20722 = 2¹ × 13¹ × 797¹

Step-3: Factors of 20704

List of positive integer factors of 20704 that divides 20704 without a remainder.

1, 2, 4, 8, 16, 32, 647, 1294, 2588, 5176, 10352

Step-4: Factors of 20722

List of positive integer factors of 20722 that divides 20704 without a remainder.

1, 2, 13, 26, 797, 1594, 10361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20704 and 20722. The biggest common factor number is the GCF number.
So the greatest common factor 20704 and 20722 is 2.

Also check out the Least Common Multiple of 20704 and 20722