What is the Greatest Common Factor of 20228 and 20234?

Greatest common factor (GCF) of 20228 and 20234 is 2.

GCF(20228,20234) = 2

We will now calculate the prime factors of 20228 and 20234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20228 and 20234.

How to find the GCF of 20228 and 20234?

We will first find the prime factorization of 20228 and 20234. After we will calculate the factors of 20228 and 20234 and find the biggest common factor number .

Step-1: Prime Factorization of 20228

Prime factors of 20228 are 2, 13, 389. Prime factorization of 20228 in exponential form is:

20228 = 2² × 13¹ × 389¹

Step-2: Prime Factorization of 20234

Prime factors of 20234 are 2, 67, 151. Prime factorization of 20234 in exponential form is:

20234 = 2¹ × 67¹ × 151¹

Step-3: Factors of 20228

List of positive integer factors of 20228 that divides 20228 without a remainder.

1, 2, 4, 13, 26, 52, 389, 778, 1556, 5057, 10114

Step-4: Factors of 20234

List of positive integer factors of 20234 that divides 20228 without a remainder.

1, 2, 67, 134, 151, 302, 10117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20228 and 20234. The biggest common factor number is the GCF number.
So the greatest common factor 20228 and 20234 is 2.

Also check out the Least Common Multiple of 20228 and 20234