What is the Greatest Common Factor of 20067 and 20082?

Greatest common factor (GCF) of 20067 and 20082 is 3.

GCF(20067,20082) = 3

We will now calculate the prime factors of 20067 and 20082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20067 and 20082.

How to find the GCF of 20067 and 20082?

We will first find the prime factorization of 20067 and 20082. After we will calculate the factors of 20067 and 20082 and find the biggest common factor number .

Step-1: Prime Factorization of 20067

Prime factors of 20067 are 3, 6689. Prime factorization of 20067 in exponential form is:

20067 = 3¹ × 6689¹

Step-2: Prime Factorization of 20082

Prime factors of 20082 are 2, 3, 3347. Prime factorization of 20082 in exponential form is:

20082 = 2¹ × 3¹ × 3347¹

Step-3: Factors of 20067

List of positive integer factors of 20067 that divides 20067 without a remainder.

1, 3, 6689

Step-4: Factors of 20082

List of positive integer factors of 20082 that divides 20067 without a remainder.

1, 2, 3, 6, 3347, 6694, 10041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20067 and 20082. The biggest common factor number is the GCF number.
So the greatest common factor 20067 and 20082 is 3.

Also check out the Least Common Multiple of 20067 and 20082