What is the Greatest Common Factor of 20319 and 20332?

Greatest common factor (GCF) of 20319 and 20332 is 13.

GCF(20319,20332) = 13

We will now calculate the prime factors of 20319 and 20332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20319 and 20332.

How to find the GCF of 20319 and 20332?

We will first find the prime factorization of 20319 and 20332. After we will calculate the factors of 20319 and 20332 and find the biggest common factor number .

Step-1: Prime Factorization of 20319

Prime factors of 20319 are 3, 13, 521. Prime factorization of 20319 in exponential form is:

20319 = 3¹ × 13¹ × 521¹

Step-2: Prime Factorization of 20332

Prime factors of 20332 are 2, 13, 17, 23. Prime factorization of 20332 in exponential form is:

20332 = 2² × 13¹ × 17¹ × 23¹

Step-3: Factors of 20319

List of positive integer factors of 20319 that divides 20319 without a remainder.

1, 3, 13, 39, 521, 1563, 6773

Step-4: Factors of 20332

List of positive integer factors of 20332 that divides 20319 without a remainder.

1, 2, 4, 13, 17, 23, 26, 34, 46, 52, 68, 92, 221, 299, 391, 442, 598, 782, 884, 1196, 1564, 5083, 10166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20319 and 20332. The biggest common factor number is the GCF number.
So the greatest common factor 20319 and 20332 is 13.

Also check out the Least Common Multiple of 20319 and 20332