Greatest Common Factor of 4160 and 4162

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 4160, 4162 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4160 and 4162 is 2.

GCF(4160,4162) = 2

GCF of 4160 and 4162

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

GCF of:
and

Greatest Common Factor of 4160 and 4162

GCF of 4160 and 4162 is 2

Prime Factorization of 4160


2 4160
2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 4160 are 2,5,13. Prime factorization of 4160 in exponential form is:

4160 = 26×51×131

Prime Factorization of 4162


2 4162
2081 2081
1

Prime factors of 4162 are 2,2081. Prime factorization of 4162 in exponential form is:

4162 = 21×20811

∴ So by taking common prime factors GCF of 4160 and 4162 is 2

Greatest Common Factor of 4160 and 4162 by matching factors method

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160

Factors of 4162

List of positive integer factors of 4162 that divides 4162 without a remainder.

1,2,2081,4162

Greatest Common Factor

We found the factors and prime factorization of 4160 and 4162. The biggest common factor number is the GCF number.
So the greatest common factor 4160 and 4162 is 2.

Also check out the Least Common Multiple of 4160 and 4162

Properties of GCF 4160 and 4162

(i) The GCF of 4160 and 4162 is associative

GCF of 4160 and 4162 = GCF of 4162 and 4160

Related Greatest Common Factor of 4160

Related Greatest Common Factor of 4162

Frequently Asked Questions on GCF of 4160 and 4162

1. What is the GCF of 4160 and 4162?

Answer: GCF of 4160 and 4162 is 2.

2. What are the Factors of 4160?

Answer: Factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160. There are 28 integers that are factors of 4160. The greatest factor of 4160 is 4160.

3. What are the Factors of 4162?

Answer: Factors of 4162 are 1, 2, 2081, 4162. There are 4 integers that are factors of 4162. The greatest factor of 4162 is 4162.

4. How to Find the GCF of 4160 and 4162?

Answer:

Greatest Common Factor of 4160 and 4162 = 2

Step 1: Find the prime factorization of 4160

4160 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 4162

4162 = 2 x 2081

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4160 and 4162 is 2