What is the Greatest Common Factor of 20271 and 20291?

Greatest common factor (GCF) of 20271 and 20291 is 1.

GCF(20271,20291) = 1

We will now calculate the prime factors of 20271 and 20291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20271 and 20291.

How to find the GCF of 20271 and 20291?

We will first find the prime factorization of 20271 and 20291. After we will calculate the factors of 20271 and 20291 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20291

Prime factors of 20291 are 103, 197. Prime factorization of 20291 in exponential form is:

20291 = 103¹ × 197¹

Step-3: Factors of 20271

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

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

Step-4: Factors of 20291

List of positive integer factors of 20291 that divides 20271 without a remainder.

1, 103, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20271 and 20291. The biggest common factor number is the GCF number.
So the greatest common factor 20271 and 20291 is 1.

Also check out the Least Common Multiple of 20271 and 20291