What is the Greatest Common Factor of 4165 and 4170?

Greatest common factor (GCF) of 4165 and 4170 is 5.

GCF(4165,4170) = 5

We will now calculate the prime factors of 4165 and 4170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4165 and 4170.

How to find the GCF of 4165 and 4170?

We will first find the prime factorization of 4165 and 4170. After we will calculate the factors of 4165 and 4170 and find the biggest common factor number .

Step-1: Prime Factorization of 4165

Prime factors of 4165 are 5, 7, 17. Prime factorization of 4165 in exponential form is:

4165 = 5¹ × 7² × 17¹

Step-2: 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-3: Factors of 4165

List of positive integer factors of 4165 that divides 4165 without a remainder.

1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833

Step-4: Factors of 4170

List of positive integer factors of 4170 that divides 4165 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4165 and 4170. The biggest common factor number is the GCF number.
So the greatest common factor 4165 and 4170 is 5.

Also check out the Least Common Multiple of 4165 and 4170