What is the Greatest Common Factor of 4170 and 4185?

Greatest common factor (GCF) of 4170 and 4185 is 15.

GCF(4170,4185) = 15

We will now calculate the prime factors of 4170 and 4185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4170 and 4185.

How to find the GCF of 4170 and 4185?

We will first find the prime factorization of 4170 and 4185. After we will calculate the factors of 4170 and 4185 and find the biggest common factor number .

Step-1: Prime Factorization of 4170

Prime factors of 4170 are 2, 3, 5, 139. Prime factorization of 4170 in exponential form is:

4170 = 2¹ × 3¹ × 5¹ × 139¹

Step-2: 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-3: Factors of 4170

List of positive integer factors of 4170 that divides 4170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085

Step-4: Factors of 4185

List of positive integer factors of 4185 that divides 4170 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4170 and 4185. The biggest common factor number is the GCF number.
So the greatest common factor 4170 and 4185 is 15.

Also check out the Least Common Multiple of 4170 and 4185