Greatest Common Factor of 4165 and 4172

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, 4172 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4165 and 4172 is 7.

GCF(4165,4172) = 7

GCF of 4165 and 4172

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

GCF of:
and

Greatest Common Factor of 4165 and 4172

GCF of 4165 and 4172 is 7

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 4172


2 4172
2 2086
7 1043
149 149
1

Prime factors of 4172 are 2,7,149. Prime factorization of 4172 in exponential form is:

4172 = 22×71×1491

∴ So by taking common prime factors GCF of 4165 and 4172 is 7

Greatest Common Factor of 4165 and 4172 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 4172

List of positive integer factors of 4172 that divides 4172 without a remainder.

1,2,4,7,14,28,149,298,596,1043,2086,4172

Greatest Common Factor

We found the factors and prime factorization of 4165 and 4172. The biggest common factor number is the GCF number.
So the greatest common factor 4165 and 4172 is 7.

Also check out the Least Common Multiple of 4165 and 4172

Properties of GCF 4165 and 4172

(i) The GCF of 4165 and 4172 is associative

GCF of 4165 and 4172 = GCF of 4172 and 4165

Related Greatest Common Factor of 4165

Related Greatest Common Factor of 4172

Frequently Asked Questions on GCF of 4165 and 4172

1. What is the GCF of 4165 and 4172?

Answer: GCF of 4165 and 4172 is 7.

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 4172?

Answer: Factors of 4172 are 1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172. There are 12 integers that are factors of 4172. The greatest factor of 4172 is 4172.

4. How to Find the GCF of 4165 and 4172?

Answer:

Greatest Common Factor of 4165 and 4172 = 7

Step 1: Find the prime factorization of 4165

4165 = 5 x 7 x 7 x 17

Step 2: Find the prime factorization of 4172

4172 = 2 x 2 x 7 x 149

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4165 and 4172 is 7