What is the Greatest Common Factor of 44223 and 44238?

Greatest common factor (GCF) of 44223 and 44238 is 3.

GCF(44223,44238) = 3

We will now calculate the prime factors of 44223 and 44238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44223 and 44238.

How to find the GCF of 44223 and 44238?

We will first find the prime factorization of 44223 and 44238. After we will calculate the factors of 44223 and 44238 and find the biggest common factor number .

Step-1: Prime Factorization of 44223

Prime factors of 44223 are 3, 14741. Prime factorization of 44223 in exponential form is:

44223 = 3¹ × 14741¹

Step-2: Prime Factorization of 44238

Prime factors of 44238 are 2, 3, 73, 101. Prime factorization of 44238 in exponential form is:

44238 = 2¹ × 3¹ × 73¹ × 101¹

Step-3: Factors of 44223

List of positive integer factors of 44223 that divides 44223 without a remainder.

1, 3, 14741

Step-4: Factors of 44238

List of positive integer factors of 44238 that divides 44223 without a remainder.

1, 2, 3, 6, 73, 101, 146, 202, 219, 303, 438, 606, 7373, 14746, 22119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44223 and 44238. The biggest common factor number is the GCF number.
So the greatest common factor 44223 and 44238 is 3.

Also check out the Least Common Multiple of 44223 and 44238