What is the Greatest Common Factor of 20291 and 20301?

Greatest common factor (GCF) of 20291 and 20301 is 1.

GCF(20291,20301) = 1

We will now calculate the prime factors of 20291 and 20301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20291 and 20301.

How to find the GCF of 20291 and 20301?

We will first find the prime factorization of 20291 and 20301. After we will calculate the factors of 20291 and 20301 and find the biggest common factor number .

Step-1: Prime Factorization of 20291

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

20291 = 103¹ × 197¹

Step-2: Prime Factorization of 20301

Prime factors of 20301 are 3, 67, 101. Prime factorization of 20301 in exponential form is:

20301 = 3¹ × 67¹ × 101¹

Step-3: Factors of 20291

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

1, 103, 197

Step-4: Factors of 20301

List of positive integer factors of 20301 that divides 20291 without a remainder.

1, 3, 67, 101, 201, 303, 6767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20291 and 20301. The biggest common factor number is the GCF number.
So the greatest common factor 20291 and 20301 is 1.

Also check out the Least Common Multiple of 20291 and 20301