What is the Greatest Common Factor of 20367 and 20382?

Greatest common factor (GCF) of 20367 and 20382 is 3.

GCF(20367,20382) = 3

We will now calculate the prime factors of 20367 and 20382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20367 and 20382.

How to find the GCF of 20367 and 20382?

We will first find the prime factorization of 20367 and 20382. After we will calculate the factors of 20367 and 20382 and find the biggest common factor number .

Step-1: Prime Factorization of 20367

Prime factors of 20367 are 3, 31, 73. Prime factorization of 20367 in exponential form is:

20367 = 3² × 31¹ × 73¹

Step-2: Prime Factorization of 20382

Prime factors of 20382 are 2, 3, 43, 79. Prime factorization of 20382 in exponential form is:

20382 = 2¹ × 3¹ × 43¹ × 79¹

Step-3: Factors of 20367

List of positive integer factors of 20367 that divides 20367 without a remainder.

1, 3, 9, 31, 73, 93, 219, 279, 657, 2263, 6789

Step-4: Factors of 20382

List of positive integer factors of 20382 that divides 20367 without a remainder.

1, 2, 3, 6, 43, 79, 86, 129, 158, 237, 258, 474, 3397, 6794, 10191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20367 and 20382. The biggest common factor number is the GCF number.
So the greatest common factor 20367 and 20382 is 3.

Also check out the Least Common Multiple of 20367 and 20382