What is the Greatest Common Factor of 20259 and 20271?

Greatest common factor (GCF) of 20259 and 20271 is 3.

GCF(20259,20271) = 3

We will now calculate the prime factors of 20259 and 20271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20259 and 20271.

How to find the GCF of 20259 and 20271?

We will first find the prime factorization of 20259 and 20271. After we will calculate the factors of 20259 and 20271 and find the biggest common factor number .

Step-1: Prime Factorization of 20259

Prime factors of 20259 are 3, 2251. Prime factorization of 20259 in exponential form is:

20259 = 3² × 2251¹

Step-2: Prime Factorization of 20271

Prime factors of 20271 are 3, 29, 233. Prime factorization of 20271 in exponential form is:

20271 = 3¹ × 29¹ × 233¹

Step-3: Factors of 20259

List of positive integer factors of 20259 that divides 20259 without a remainder.

1, 3, 9, 2251, 6753

Step-4: Factors of 20271

List of positive integer factors of 20271 that divides 20259 without a remainder.

1, 3, 29, 87, 233, 699, 6757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20259 and 20271. The biggest common factor number is the GCF number.
So the greatest common factor 20259 and 20271 is 3.

Also check out the Least Common Multiple of 20259 and 20271