What is the Greatest Common Factor of 20228 and 20247?

Greatest common factor (GCF) of 20228 and 20247 is 1.

GCF(20228,20247) = 1

We will now calculate the prime factors of 20228 and 20247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20228 and 20247.

How to find the GCF of 20228 and 20247?

We will first find the prime factorization of 20228 and 20247. After we will calculate the factors of 20228 and 20247 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 20247

Prime factors of 20247 are 3, 17, 397. Prime factorization of 20247 in exponential form is:

20247 = 3¹ × 17¹ × 397¹

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 20247

List of positive integer factors of 20247 that divides 20228 without a remainder.

1, 3, 17, 51, 397, 1191, 6749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20228 and 20247. The biggest common factor number is the GCF number.
So the greatest common factor 20228 and 20247 is 1.

Also check out the Least Common Multiple of 20228 and 20247