Greatest Common Factor of 4160 and 4164

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, 4164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4160 and 4164 is 4.

GCF(4160,4164) = 4

GCF of 4160 and 4164

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

GCF of:
and

Greatest Common Factor of 4160 and 4164

GCF of 4160 and 4164 is 4

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 4164


2 4164
2 2082
3 1041
347 347
1

Prime factors of 4164 are 2,3,347. Prime factorization of 4164 in exponential form is:

4164 = 22×31×3471

∴ So by taking common prime factors GCF of 4160 and 4164 is 4

Greatest Common Factor of 4160 and 4164 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 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1,2,3,4,6,12,347,694,1041,1388,2082,4164

Greatest Common Factor

We found the factors and prime factorization of 4160 and 4164. The biggest common factor number is the GCF number.
So the greatest common factor 4160 and 4164 is 4.

Also check out the Least Common Multiple of 4160 and 4164

Properties of GCF 4160 and 4164

(i) The GCF of 4160 and 4164 is associative

GCF of 4160 and 4164 = GCF of 4164 and 4160

Related Greatest Common Factor of 4160

Related Greatest Common Factor of 4164

Frequently Asked Questions on GCF of 4160 and 4164

1. What is the GCF of 4160 and 4164?

Answer: GCF of 4160 and 4164 is 4.

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 4164?

Answer: Factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164. There are 12 integers that are factors of 4164. The greatest factor of 4164 is 4164.

4. How to Find the GCF of 4160 and 4164?

Answer:

Greatest Common Factor of 4160 and 4164 = 4

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 4164

4164 = 2 x 2 x 3 x 347

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4160 and 4164 is 4