What is the Greatest Common Factor of 38229 and 38244?

Greatest common factor (GCF) of 38229 and 38244 is 3.

GCF(38229,38244) = 3

We will now calculate the prime factors of 38229 and 38244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38229 and 38244.

How to find the GCF of 38229 and 38244?

We will first find the prime factorization of 38229 and 38244. After we will calculate the factors of 38229 and 38244 and find the biggest common factor number .

Step-1: Prime Factorization of 38229

Prime factors of 38229 are 3, 12743. Prime factorization of 38229 in exponential form is:

38229 = 3¹ × 12743¹

Step-2: Prime Factorization of 38244

Prime factors of 38244 are 2, 3, 3187. Prime factorization of 38244 in exponential form is:

38244 = 2² × 3¹ × 3187¹

Step-3: Factors of 38229

List of positive integer factors of 38229 that divides 38229 without a remainder.

1, 3, 12743

Step-4: Factors of 38244

List of positive integer factors of 38244 that divides 38229 without a remainder.

1, 2, 3, 4, 6, 12, 3187, 6374, 9561, 12748, 19122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38229 and 38244. The biggest common factor number is the GCF number.
So the greatest common factor 38229 and 38244 is 3.

Also check out the Least Common Multiple of 38229 and 38244