What is the Greatest Common Factor of 20283 and 20301?

Greatest common factor (GCF) of 20283 and 20301 is 3.

GCF(20283,20301) = 3

We will now calculate the prime factors of 20283 and 20301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20283 and 20301.

How to find the GCF of 20283 and 20301?

We will first find the prime factorization of 20283 and 20301. After we will calculate the factors of 20283 and 20301 and find the biggest common factor number .

Step-1: Prime Factorization of 20283

Prime factors of 20283 are 3, 6761. Prime factorization of 20283 in exponential form is:

20283 = 3¹ × 6761¹

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 20283

List of positive integer factors of 20283 that divides 20283 without a remainder.

1, 3, 6761

Step-4: Factors of 20301

List of positive integer factors of 20301 that divides 20283 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20283 and 20301. The biggest common factor number is the GCF number.
So the greatest common factor 20283 and 20301 is 3.

Also check out the Least Common Multiple of 20283 and 20301