What is the Greatest Common Factor of 20376 and 20388?

Greatest common factor (GCF) of 20376 and 20388 is 12.

GCF(20376,20388) = 12

We will now calculate the prime factors of 20376 and 20388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20376 and 20388.

How to find the GCF of 20376 and 20388?

We will first find the prime factorization of 20376 and 20388. After we will calculate the factors of 20376 and 20388 and find the biggest common factor number .

Step-1: Prime Factorization of 20376

Prime factors of 20376 are 2, 3, 283. Prime factorization of 20376 in exponential form is:

20376 = 2³ × 3² × 283¹

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 20376

List of positive integer factors of 20376 that divides 20376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 283, 566, 849, 1132, 1698, 2264, 2547, 3396, 5094, 6792, 10188

Step-4: Factors of 20388

List of positive integer factors of 20388 that divides 20376 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 20376 and 20388. The biggest common factor number is the GCF number.
So the greatest common factor 20376 and 20388 is 12.

Also check out the Least Common Multiple of 20376 and 20388