What is the Greatest Common Factor of 20274 and 20284?

Greatest common factor (GCF) of 20274 and 20284 is 2.

GCF(20274,20284) = 2

We will now calculate the prime factors of 20274 and 20284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20274 and 20284.

How to find the GCF of 20274 and 20284?

We will first find the prime factorization of 20274 and 20284. After we will calculate the factors of 20274 and 20284 and find the biggest common factor number .

Step-1: Prime Factorization of 20274

Prime factors of 20274 are 2, 3, 31, 109. Prime factorization of 20274 in exponential form is:

20274 = 2¹ × 3¹ × 31¹ × 109¹

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 20274

List of positive integer factors of 20274 that divides 20274 without a remainder.

1, 2, 3, 6, 31, 62, 93, 109, 186, 218, 327, 654, 3379, 6758, 10137

Step-4: Factors of 20284

List of positive integer factors of 20284 that divides 20274 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 20274 and 20284. The biggest common factor number is the GCF number.
So the greatest common factor 20274 and 20284 is 2.

Also check out the Least Common Multiple of 20274 and 20284