What is the Greatest Common Factor of 20208 and 20226?

Greatest common factor (GCF) of 20208 and 20226 is 6.

GCF(20208,20226) = 6

We will now calculate the prime factors of 20208 and 20226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20208 and 20226.

How to find the GCF of 20208 and 20226?

We will first find the prime factorization of 20208 and 20226. After we will calculate the factors of 20208 and 20226 and find the biggest common factor number .

Step-1: Prime Factorization of 20208

Prime factors of 20208 are 2, 3, 421. Prime factorization of 20208 in exponential form is:

20208 = 2⁴ × 3¹ × 421¹

Step-2: Prime Factorization of 20226

Prime factors of 20226 are 2, 3, 3371. Prime factorization of 20226 in exponential form is:

20226 = 2¹ × 3¹ × 3371¹

Step-3: Factors of 20208

List of positive integer factors of 20208 that divides 20208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 421, 842, 1263, 1684, 2526, 3368, 5052, 6736, 10104

Step-4: Factors of 20226

List of positive integer factors of 20226 that divides 20208 without a remainder.

1, 2, 3, 6, 3371, 6742, 10113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20208 and 20226. The biggest common factor number is the GCF number.
So the greatest common factor 20208 and 20226 is 6.

Also check out the Least Common Multiple of 20208 and 20226