What is the Greatest Common Factor of 23214 and 23228?

Greatest common factor (GCF) of 23214 and 23228 is 2.

GCF(23214,23228) = 2

We will now calculate the prime factors of 23214 and 23228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23214 and 23228.

How to find the GCF of 23214 and 23228?

We will first find the prime factorization of 23214 and 23228. After we will calculate the factors of 23214 and 23228 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 23228

Prime factors of 23228 are 2, 5807. Prime factorization of 23228 in exponential form is:

23228 = 2² × 5807¹

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 23228

List of positive integer factors of 23228 that divides 23214 without a remainder.

1, 2, 4, 5807, 11614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23214 and 23228. The biggest common factor number is the GCF number.
So the greatest common factor 23214 and 23228 is 2.

Also check out the Least Common Multiple of 23214 and 23228