What is the Greatest Common Factor of 20284 and 20295?

Greatest common factor (GCF) of 20284 and 20295 is 11.

GCF(20284,20295) = 11

We will now calculate the prime factors of 20284 and 20295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20284 and 20295.

How to find the GCF of 20284 and 20295?

We will first find the prime factorization of 20284 and 20295. After we will calculate the factors of 20284 and 20295 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20295

Prime factors of 20295 are 3, 5, 11, 41. Prime factorization of 20295 in exponential form is:

20295 = 3² × 5¹ × 11¹ × 41¹

Step-3: Factors of 20284

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

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

Step-4: Factors of 20295

List of positive integer factors of 20295 that divides 20284 without a remainder.

1, 3, 5, 9, 11, 15, 33, 41, 45, 55, 99, 123, 165, 205, 369, 451, 495, 615, 1353, 1845, 2255, 4059, 6765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20284 and 20295. The biggest common factor number is the GCF number.
So the greatest common factor 20284 and 20295 is 11.

Also check out the Least Common Multiple of 20284 and 20295