What is the Greatest Common Factor of 20223 and 20229?

Greatest common factor (GCF) of 20223 and 20229 is 3.

GCF(20223,20229) = 3

We will now calculate the prime factors of 20223 and 20229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20223 and 20229.

How to find the GCF of 20223 and 20229?

We will first find the prime factorization of 20223 and 20229. After we will calculate the factors of 20223 and 20229 and find the biggest common factor number .

Step-1: Prime Factorization of 20223

Prime factors of 20223 are 3, 7, 107. Prime factorization of 20223 in exponential form is:

20223 = 3³ × 7¹ × 107¹

Step-2: Prime Factorization of 20229

Prime factors of 20229 are 3, 11, 613. Prime factorization of 20229 in exponential form is:

20229 = 3¹ × 11¹ × 613¹

Step-3: Factors of 20223

List of positive integer factors of 20223 that divides 20223 without a remainder.

1, 3, 7, 9, 21, 27, 63, 107, 189, 321, 749, 963, 2247, 2889, 6741

Step-4: Factors of 20229

List of positive integer factors of 20229 that divides 20223 without a remainder.

1, 3, 11, 33, 613, 1839, 6743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20223 and 20229. The biggest common factor number is the GCF number.
So the greatest common factor 20223 and 20229 is 3.

Also check out the Least Common Multiple of 20223 and 20229