What is the Greatest Common Factor of 20273 and 20284?

Greatest common factor (GCF) of 20273 and 20284 is 11.

GCF(20273,20284) = 11

We will now calculate the prime factors of 20273 and 20284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20273 and 20284.

How to find the GCF of 20273 and 20284?

We will first find the prime factorization of 20273 and 20284. After we will calculate the factors of 20273 and 20284 and find the biggest common factor number .

Step-1: Prime Factorization of 20273

Prime factors of 20273 are 11, 19, 97. Prime factorization of 20273 in exponential form is:

20273 = 11¹ × 19¹ × 97¹

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 20273

List of positive integer factors of 20273 that divides 20273 without a remainder.

1, 11, 19, 97, 209, 1067, 1843

Step-4: Factors of 20284

List of positive integer factors of 20284 that divides 20273 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 20273 and 20284. The biggest common factor number is the GCF number.
So the greatest common factor 20273 and 20284 is 11.

Also check out the Least Common Multiple of 20273 and 20284