What is the Greatest Common Factor of 23214 and 23223?

Greatest common factor (GCF) of 23214 and 23223 is 3.

GCF(23214,23223) = 3

We will now calculate the prime factors of 23214 and 23223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23214 and 23223.

How to find the GCF of 23214 and 23223?

We will first find the prime factorization of 23214 and 23223. After we will calculate the factors of 23214 and 23223 and find the biggest common factor number .

Step-1: Prime Factorization of 23214

Prime factors of 23214 are 2, 3, 53, 73. Prime factorization of 23214 in exponential form is:

23214 = 2¹ × 3¹ × 53¹ × 73¹

Step-2: Prime Factorization of 23223

Prime factors of 23223 are 3, 7741. Prime factorization of 23223 in exponential form is:

23223 = 3¹ × 7741¹

Step-3: Factors of 23214

List of positive integer factors of 23214 that divides 23214 without a remainder.

1, 2, 3, 6, 53, 73, 106, 146, 159, 219, 318, 438, 3869, 7738, 11607

Step-4: Factors of 23223

List of positive integer factors of 23223 that divides 23214 without a remainder.

1, 3, 7741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23214 and 23223. The biggest common factor number is the GCF number.
So the greatest common factor 23214 and 23223 is 3.

Also check out the Least Common Multiple of 23214 and 23223