What is the Greatest Common Factor of 23208 and 23220?

Greatest common factor (GCF) of 23208 and 23220 is 12.

GCF(23208,23220) = 12

We will now calculate the prime factors of 23208 and 23220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23208 and 23220.

How to find the GCF of 23208 and 23220?

We will first find the prime factorization of 23208 and 23220. After we will calculate the factors of 23208 and 23220 and find the biggest common factor number .

Step-1: Prime Factorization of 23208

Prime factors of 23208 are 2, 3, 967. Prime factorization of 23208 in exponential form is:

23208 = 2³ × 3¹ × 967¹

Step-2: Prime Factorization of 23220

Prime factors of 23220 are 2, 3, 5, 43. Prime factorization of 23220 in exponential form is:

23220 = 2² × 3³ × 5¹ × 43¹

Step-3: Factors of 23208

List of positive integer factors of 23208 that divides 23208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 967, 1934, 2901, 3868, 5802, 7736, 11604

Step-4: Factors of 23220

List of positive integer factors of 23220 that divides 23208 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 43, 45, 54, 60, 86, 90, 108, 129, 135, 172, 180, 215, 258, 270, 387, 430, 516, 540, 645, 774, 860, 1161, 1290, 1548, 1935, 2322, 2580, 3870, 4644, 5805, 7740, 11610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23208 and 23220. The biggest common factor number is the GCF number.
So the greatest common factor 23208 and 23220 is 12.

Also check out the Least Common Multiple of 23208 and 23220