What is the Greatest Common Factor of 20382 and 20388?

Greatest common factor (GCF) of 20382 and 20388 is 6.

GCF(20382,20388) = 6

We will now calculate the prime factors of 20382 and 20388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20382 and 20388.

How to find the GCF of 20382 and 20388?

We will first find the prime factorization of 20382 and 20388. After we will calculate the factors of 20382 and 20388 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20388

Prime factors of 20388 are 2, 3, 1699. Prime factorization of 20388 in exponential form is:

20388 = 2² × 3¹ × 1699¹

Step-3: Factors of 20382

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

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

Step-4: Factors of 20388

List of positive integer factors of 20388 that divides 20382 without a remainder.

1, 2, 3, 4, 6, 12, 1699, 3398, 5097, 6796, 10194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20382 and 20388. The biggest common factor number is the GCF number.
So the greatest common factor 20382 and 20388 is 6.

Also check out the Least Common Multiple of 20382 and 20388