What is the Greatest Common Factor of 2185 and 2195?

Greatest common factor (GCF) of 2185 and 2195 is 5.

GCF(2185,2195) = 5

We will now calculate the prime factors of 2185 and 2195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2185 and 2195.

How to find the GCF of 2185 and 2195?

We will first find the prime factorization of 2185 and 2195. After we will calculate the factors of 2185 and 2195 and find the biggest common factor number .

Step-1: Prime Factorization of 2185

Prime factors of 2185 are 5, 19, 23. Prime factorization of 2185 in exponential form is:

2185 = 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 2195

Prime factors of 2195 are 5, 439. Prime factorization of 2195 in exponential form is:

2195 = 5¹ × 439¹

Step-3: Factors of 2185

List of positive integer factors of 2185 that divides 2185 without a remainder.

1, 5, 19, 23, 95, 115, 437

Step-4: Factors of 2195

List of positive integer factors of 2195 that divides 2185 without a remainder.

1, 5, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2185 and 2195. The biggest common factor number is the GCF number.
So the greatest common factor 2185 and 2195 is 5.

Also check out the Least Common Multiple of 2185 and 2195