What is the Greatest Common Factor of 23250 and 23260?

Greatest common factor (GCF) of 23250 and 23260 is 10.

GCF(23250,23260) = 10

We will now calculate the prime factors of 23250 and 23260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23250 and 23260.

How to find the GCF of 23250 and 23260?

We will first find the prime factorization of 23250 and 23260. After we will calculate the factors of 23250 and 23260 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23260

Prime factors of 23260 are 2, 5, 1163. Prime factorization of 23260 in exponential form is:

23260 = 2² × 5¹ × 1163¹

Step-3: Factors of 23250

List of positive integer factors of 23250 that divides 23250 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

Step-4: Factors of 23260

List of positive integer factors of 23260 that divides 23250 without a remainder.

1, 2, 4, 5, 10, 20, 1163, 2326, 4652, 5815, 11630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23250 and 23260. The biggest common factor number is the GCF number.
So the greatest common factor 23250 and 23260 is 10.

Also check out the Least Common Multiple of 23250 and 23260