What is the Greatest Common Factor of 24170 and 24175?

Greatest common factor (GCF) of 24170 and 24175 is 5.

GCF(24170,24175) = 5

We will now calculate the prime factors of 24170 and 24175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24170 and 24175.

How to find the GCF of 24170 and 24175?

We will first find the prime factorization of 24170 and 24175. After we will calculate the factors of 24170 and 24175 and find the biggest common factor number .

Step-1: Prime Factorization of 24170

Prime factors of 24170 are 2, 5, 2417. Prime factorization of 24170 in exponential form is:

24170 = 2¹ × 5¹ × 2417¹

Step-2: Prime Factorization of 24175

Prime factors of 24175 are 5, 967. Prime factorization of 24175 in exponential form is:

24175 = 5² × 967¹

Step-3: Factors of 24170

List of positive integer factors of 24170 that divides 24170 without a remainder.

1, 2, 5, 10, 2417, 4834, 12085

Step-4: Factors of 24175

List of positive integer factors of 24175 that divides 24170 without a remainder.

1, 5, 25, 967, 4835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24170 and 24175. The biggest common factor number is the GCF number.
So the greatest common factor 24170 and 24175 is 5.

Also check out the Least Common Multiple of 24170 and 24175