What is the Greatest Common Factor of 23272 and 23276?

Greatest common factor (GCF) of 23272 and 23276 is 4.

GCF(23272,23276) = 4

We will now calculate the prime factors of 23272 and 23276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23272 and 23276.

How to find the GCF of 23272 and 23276?

We will first find the prime factorization of 23272 and 23276. After we will calculate the factors of 23272 and 23276 and find the biggest common factor number .

Step-1: Prime Factorization of 23272

Prime factors of 23272 are 2, 2909. Prime factorization of 23272 in exponential form is:

23272 = 2³ × 2909¹

Step-2: Prime Factorization of 23276

Prime factors of 23276 are 2, 11, 23. Prime factorization of 23276 in exponential form is:

23276 = 2² × 11¹ × 23²

Step-3: Factors of 23272

List of positive integer factors of 23272 that divides 23272 without a remainder.

1, 2, 4, 8, 2909, 5818, 11636

Step-4: Factors of 23276

List of positive integer factors of 23276 that divides 23272 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 529, 1012, 1058, 2116, 5819, 11638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23272 and 23276. The biggest common factor number is the GCF number.
So the greatest common factor 23272 and 23276 is 4.

Also check out the Least Common Multiple of 23272 and 23276