What is the Greatest Common Factor of 23218 and 23237?

Greatest common factor (GCF) of 23218 and 23237 is 19.

GCF(23218,23237) = 19

We will now calculate the prime factors of 23218 and 23237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23218 and 23237.

How to find the GCF of 23218 and 23237?

We will first find the prime factorization of 23218 and 23237. After we will calculate the factors of 23218 and 23237 and find the biggest common factor number .

Step-1: Prime Factorization of 23218

Prime factors of 23218 are 2, 13, 19, 47. Prime factorization of 23218 in exponential form is:

23218 = 2¹ × 13¹ × 19¹ × 47¹

Step-2: Prime Factorization of 23237

Prime factors of 23237 are 19, 1223. Prime factorization of 23237 in exponential form is:

23237 = 19¹ × 1223¹

Step-3: Factors of 23218

List of positive integer factors of 23218 that divides 23218 without a remainder.

1, 2, 13, 19, 26, 38, 47, 94, 247, 494, 611, 893, 1222, 1786, 11609

Step-4: Factors of 23237

List of positive integer factors of 23237 that divides 23218 without a remainder.

1, 19, 1223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23218 and 23237. The biggest common factor number is the GCF number.
So the greatest common factor 23218 and 23237 is 19.

Also check out the Least Common Multiple of 23218 and 23237