What is the Greatest Common Factor of 20307 and 20316?

Greatest common factor (GCF) of 20307 and 20316 is 3.

GCF(20307,20316) = 3

We will now calculate the prime factors of 20307 and 20316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20307 and 20316.

How to find the GCF of 20307 and 20316?

We will first find the prime factorization of 20307 and 20316. After we will calculate the factors of 20307 and 20316 and find the biggest common factor number .

Step-1: Prime Factorization of 20307

Prime factors of 20307 are 3, 7, 967. Prime factorization of 20307 in exponential form is:

20307 = 3¹ × 7¹ × 967¹

Step-2: Prime Factorization of 20316

Prime factors of 20316 are 2, 3, 1693. Prime factorization of 20316 in exponential form is:

20316 = 2² × 3¹ × 1693¹

Step-3: Factors of 20307

List of positive integer factors of 20307 that divides 20307 without a remainder.

1, 3, 7, 21, 967, 2901, 6769

Step-4: Factors of 20316

List of positive integer factors of 20316 that divides 20307 without a remainder.

1, 2, 3, 4, 6, 12, 1693, 3386, 5079, 6772, 10158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20307 and 20316. The biggest common factor number is the GCF number.
So the greatest common factor 20307 and 20316 is 3.

Also check out the Least Common Multiple of 20307 and 20316