What is the Greatest Common Factor of 20268 and 20284?

Greatest common factor (GCF) of 20268 and 20284 is 4.

GCF(20268,20284) = 4

We will now calculate the prime factors of 20268 and 20284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20268 and 20284.

How to find the GCF of 20268 and 20284?

We will first find the prime factorization of 20268 and 20284. After we will calculate the factors of 20268 and 20284 and find the biggest common factor number .

Step-1: Prime Factorization of 20268

Prime factors of 20268 are 2, 3, 563. Prime factorization of 20268 in exponential form is:

20268 = 2² × 3² × 563¹

Step-2: Prime Factorization of 20284

Prime factors of 20284 are 2, 11, 461. Prime factorization of 20284 in exponential form is:

20284 = 2² × 11¹ × 461¹

Step-3: Factors of 20268

List of positive integer factors of 20268 that divides 20268 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 563, 1126, 1689, 2252, 3378, 5067, 6756, 10134

Step-4: Factors of 20284

List of positive integer factors of 20284 that divides 20268 without a remainder.

1, 2, 4, 11, 22, 44, 461, 922, 1844, 5071, 10142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20268 and 20284. The biggest common factor number is the GCF number.
So the greatest common factor 20268 and 20284 is 4.

Also check out the Least Common Multiple of 20268 and 20284