What is the Greatest Common Factor of 24185 and 24195?

Greatest common factor (GCF) of 24185 and 24195 is 5.

GCF(24185,24195) = 5

We will now calculate the prime factors of 24185 and 24195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24185 and 24195.

How to find the GCF of 24185 and 24195?

We will first find the prime factorization of 24185 and 24195. After we will calculate the factors of 24185 and 24195 and find the biggest common factor number .

Step-1: Prime Factorization of 24185

Prime factors of 24185 are 5, 7, 691. Prime factorization of 24185 in exponential form is:

24185 = 5¹ × 7¹ × 691¹

Step-2: Prime Factorization of 24195

Prime factors of 24195 are 3, 5, 1613. Prime factorization of 24195 in exponential form is:

24195 = 3¹ × 5¹ × 1613¹

Step-3: Factors of 24185

List of positive integer factors of 24185 that divides 24185 without a remainder.

1, 5, 7, 35, 691, 3455, 4837

Step-4: Factors of 24195

List of positive integer factors of 24195 that divides 24185 without a remainder.

1, 3, 5, 15, 1613, 4839, 8065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24185 and 24195. The biggest common factor number is the GCF number.
So the greatest common factor 24185 and 24195 is 5.

Also check out the Least Common Multiple of 24185 and 24195