Greatest Common Factor of 4165 and 4170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4165, 4170 i.e. 5 largest integer by which both the numbers can be divided.

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

GCF(4165,4170) = 5

GCF of 4165 and 4170

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4165 and 4170

GCF of 4165 and 4170 is 5

Prime Factorization of 4165


5 4165
7 833
7 119
17 17
1

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

4165 = 51×72×171

Prime Factorization of 4170


2 4170
3 2085
5 695
139 139
1

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

4170 = 21×31×51×1391

∴ So by taking common prime factors GCF of 4165 and 4170 is 5

Greatest Common Factor of 4165 and 4170 by matching factors method

Factors of 4165

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

1,5,7,17,35,49,85,119,245,595,833,4165

Factors of 4170

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

1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170

Greatest Common Factor

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

Properties of GCF 4165 and 4170

(i) The GCF of 4165 and 4170 is associative

GCF of 4165 and 4170 = GCF of 4170 and 4165

Related Greatest Common Factor of 4165

Related Greatest Common Factor of 4170

Frequently Asked Questions on GCF of 4165 and 4170

1. What is the GCF of 4165 and 4170?

Answer: GCF of 4165 and 4170 is 5.

2. What are the Factors of 4165?

Answer: Factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165. There are 12 integers that are factors of 4165. The greatest factor of 4165 is 4165.

3. What are the Factors of 4170?

Answer: Factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170. There are 16 integers that are factors of 4170. The greatest factor of 4170 is 4170.

4. How to Find the GCF of 4165 and 4170?

Answer:

Greatest Common Factor of 4165 and 4170 = 5

Step 1: Find the prime factorization of 4165

4165 = 5 x 7 x 7 x 17

Step 2: Find the prime factorization of 4170

4170 = 2 x 3 x 5 x 139

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 4165 and 4170 is 5