What is the Greatest Common Factor of 4185 and 4190?

Greatest common factor (GCF) of 4185 and 4190 is 5.

GCF(4185,4190) = 5

We will now calculate the prime factors of 4185 and 4190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4185 and 4190.

How to find the GCF of 4185 and 4190?

We will first find the prime factorization of 4185 and 4190. After we will calculate the factors of 4185 and 4190 and find the biggest common factor number .

Step-1: Prime Factorization of 4185

Prime factors of 4185 are 3, 5, 31. Prime factorization of 4185 in exponential form is:

4185 = 3³ × 5¹ × 31¹

Step-2: Prime Factorization of 4190

Prime factors of 4190 are 2, 5, 419. Prime factorization of 4190 in exponential form is:

4190 = 2¹ × 5¹ × 419¹

Step-3: Factors of 4185

List of positive integer factors of 4185 that divides 4185 without a remainder.

1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395

Step-4: Factors of 4190

List of positive integer factors of 4190 that divides 4185 without a remainder.

1, 2, 5, 10, 419, 838, 2095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4185 and 4190. The biggest common factor number is the GCF number.
So the greatest common factor 4185 and 4190 is 5.

Also check out the Least Common Multiple of 4185 and 4190