What is the Greatest Common Factor of 20082 and 20097?

Greatest common factor (GCF) of 20082 and 20097 is 3.

GCF(20082,20097) = 3

We will now calculate the prime factors of 20082 and 20097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20082 and 20097.

How to find the GCF of 20082 and 20097?

We will first find the prime factorization of 20082 and 20097. After we will calculate the factors of 20082 and 20097 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20097

Prime factors of 20097 are 3, 7, 11, 29. Prime factorization of 20097 in exponential form is:

20097 = 3² × 7¹ × 11¹ × 29¹

Step-3: Factors of 20082

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

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

Step-4: Factors of 20097

List of positive integer factors of 20097 that divides 20082 without a remainder.

1, 3, 7, 9, 11, 21, 29, 33, 63, 77, 87, 99, 203, 231, 261, 319, 609, 693, 957, 1827, 2233, 2871, 6699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20082 and 20097. The biggest common factor number is the GCF number.
So the greatest common factor 20082 and 20097 is 3.

Also check out the Least Common Multiple of 20082 and 20097