What is the Greatest Common Factor of 20223 and 20238?

Greatest common factor (GCF) of 20223 and 20238 is 3.

GCF(20223,20238) = 3

We will now calculate the prime factors of 20223 and 20238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20223 and 20238.

How to find the GCF of 20223 and 20238?

We will first find the prime factorization of 20223 and 20238. After we will calculate the factors of 20223 and 20238 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 20238

Prime factors of 20238 are 2, 3, 3373. Prime factorization of 20238 in exponential form is:

20238 = 2¹ × 3¹ × 3373¹

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 20238

List of positive integer factors of 20238 that divides 20223 without a remainder.

1, 2, 3, 6, 3373, 6746, 10119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20223 and 20238. The biggest common factor number is the GCF number.
So the greatest common factor 20223 and 20238 is 3.

Also check out the Least Common Multiple of 20223 and 20238