What is the Greatest Common Factor of 20471 and 20491?

Greatest common factor (GCF) of 20471 and 20491 is 1.

GCF(20471,20491) = 1

We will now calculate the prime factors of 20471 and 20491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20471 and 20491.

How to find the GCF of 20471 and 20491?

We will first find the prime factorization of 20471 and 20491. After we will calculate the factors of 20471 and 20491 and find the biggest common factor number .

Step-1: Prime Factorization of 20471

Prime factors of 20471 are 11, 1861. Prime factorization of 20471 in exponential form is:

20471 = 11¹ × 1861¹

Step-2: Prime Factorization of 20491

Prime factors of 20491 are 31, 661. Prime factorization of 20491 in exponential form is:

20491 = 31¹ × 661¹

Step-3: Factors of 20471

List of positive integer factors of 20471 that divides 20471 without a remainder.

1, 11, 1861

Step-4: Factors of 20491

List of positive integer factors of 20491 that divides 20471 without a remainder.

1, 31, 661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20471 and 20491. The biggest common factor number is the GCF number.
So the greatest common factor 20471 and 20491 is 1.

Also check out the Least Common Multiple of 20471 and 20491