What is the Greatest Common Factor of 23350 and 23360?

Greatest common factor (GCF) of 23350 and 23360 is 10.

GCF(23350,23360) = 10

We will now calculate the prime factors of 23350 and 23360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23350 and 23360.

How to find the GCF of 23350 and 23360?

We will first find the prime factorization of 23350 and 23360. After we will calculate the factors of 23350 and 23360 and find the biggest common factor number .

Step-1: Prime Factorization of 23350

Prime factors of 23350 are 2, 5, 467. Prime factorization of 23350 in exponential form is:

23350 = 2¹ × 5² × 467¹

Step-2: Prime Factorization of 23360

Prime factors of 23360 are 2, 5, 73. Prime factorization of 23360 in exponential form is:

23360 = 2⁶ × 5¹ × 73¹

Step-3: Factors of 23350

List of positive integer factors of 23350 that divides 23350 without a remainder.

1, 2, 5, 10, 25, 50, 467, 934, 2335, 4670, 11675

Step-4: Factors of 23360

List of positive integer factors of 23360 that divides 23350 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 73, 80, 146, 160, 292, 320, 365, 584, 730, 1168, 1460, 2336, 2920, 4672, 5840, 11680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23350 and 23360. The biggest common factor number is the GCF number.
So the greatest common factor 23350 and 23360 is 10.

Also check out the Least Common Multiple of 23350 and 23360