What is the Greatest Common Factor of 20332 and 20338?

Greatest common factor (GCF) of 20332 and 20338 is 2.

GCF(20332,20338) = 2

We will now calculate the prime factors of 20332 and 20338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20332 and 20338.

How to find the GCF of 20332 and 20338?

We will first find the prime factorization of 20332 and 20338. After we will calculate the factors of 20332 and 20338 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20338

Prime factors of 20338 are 2, 10169. Prime factorization of 20338 in exponential form is:

20338 = 2¹ × 10169¹

Step-3: Factors of 20332

List of positive integer factors of 20332 that divides 20332 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

Step-4: Factors of 20338

List of positive integer factors of 20338 that divides 20332 without a remainder.

1, 2, 10169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20332 and 20338. The biggest common factor number is the GCF number.
So the greatest common factor 20332 and 20338 is 2.

Also check out the Least Common Multiple of 20332 and 20338