What is the Greatest Common Factor of 23232 and 23250?

Greatest common factor (GCF) of 23232 and 23250 is 6.

GCF(23232,23250) = 6

We will now calculate the prime factors of 23232 and 23250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23232 and 23250.

How to find the GCF of 23232 and 23250?

We will first find the prime factorization of 23232 and 23250. After we will calculate the factors of 23232 and 23250 and find the biggest common factor number .

Step-1: Prime Factorization of 23232

Prime factors of 23232 are 2, 3, 11. Prime factorization of 23232 in exponential form is:

23232 = 2⁶ × 3¹ × 11²

Step-2: Prime Factorization of 23250

Prime factors of 23250 are 2, 3, 5, 31. Prime factorization of 23250 in exponential form is:

23250 = 2¹ × 3¹ × 5³ × 31¹

Step-3: Factors of 23232

List of positive integer factors of 23232 that divides 23232 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 121, 132, 176, 192, 242, 264, 352, 363, 484, 528, 704, 726, 968, 1056, 1452, 1936, 2112, 2904, 3872, 5808, 7744, 11616

Step-4: Factors of 23250

List of positive integer factors of 23250 that divides 23232 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 125, 150, 155, 186, 250, 310, 375, 465, 750, 775, 930, 1550, 2325, 3875, 4650, 7750, 11625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23232 and 23250. The biggest common factor number is the GCF number.
So the greatest common factor 23232 and 23250 is 6.

Also check out the Least Common Multiple of 23232 and 23250