What is the Greatest Common Factor of 23230 and 23236?

Greatest common factor (GCF) of 23230 and 23236 is 2.

GCF(23230,23236) = 2

We will now calculate the prime factors of 23230 and 23236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23230 and 23236.

How to find the GCF of 23230 and 23236?

We will first find the prime factorization of 23230 and 23236. After we will calculate the factors of 23230 and 23236 and find the biggest common factor number .

Step-1: Prime Factorization of 23230

Prime factors of 23230 are 2, 5, 23, 101. Prime factorization of 23230 in exponential form is:

23230 = 2¹ × 5¹ × 23¹ × 101¹

Step-2: Prime Factorization of 23236

Prime factors of 23236 are 2, 37, 157. Prime factorization of 23236 in exponential form is:

23236 = 2² × 37¹ × 157¹

Step-3: Factors of 23230

List of positive integer factors of 23230 that divides 23230 without a remainder.

1, 2, 5, 10, 23, 46, 101, 115, 202, 230, 505, 1010, 2323, 4646, 11615

Step-4: Factors of 23236

List of positive integer factors of 23236 that divides 23230 without a remainder.

1, 2, 4, 37, 74, 148, 157, 314, 628, 5809, 11618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23230 and 23236. The biggest common factor number is the GCF number.
So the greatest common factor 23230 and 23236 is 2.

Also check out the Least Common Multiple of 23230 and 23236