Greatest Common Factor of 6160 and 6164

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 6160, 6164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6160 and 6164 is 4.

GCF(6160,6164) = 4

GCF of 6160 and 6164

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

GCF of:
and

Greatest Common Factor of 6160 and 6164

GCF of 6160 and 6164 is 4

Prime Factorization of 6160


2 6160
2 3080
2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 6160 are 2,5,7,11. Prime factorization of 6160 in exponential form is:

6160 = 24×51×71×111

Prime Factorization of 6164


2 6164
2 3082
23 1541
67 67
1

Prime factors of 6164 are 2,23,67. Prime factorization of 6164 in exponential form is:

6164 = 22×231×671

∴ So by taking common prime factors GCF of 6160 and 6164 is 4

Greatest Common Factor of 6160 and 6164 by matching factors method

Factors of 6160

List of positive integer factors of 6160 that divides 6160 without a remainder.

1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160

Factors of 6164

List of positive integer factors of 6164 that divides 6164 without a remainder.

1,2,4,23,46,67,92,134,268,1541,3082,6164

Greatest Common Factor

We found the factors and prime factorization of 6160 and 6164. The biggest common factor number is the GCF number.
So the greatest common factor 6160 and 6164 is 4.

Also check out the Least Common Multiple of 6160 and 6164

Properties of GCF 6160 and 6164

(i) The GCF of 6160 and 6164 is associative

GCF of 6160 and 6164 = GCF of 6164 and 6160

Related Greatest Common Factor of 6160

Related Greatest Common Factor of 6164

Frequently Asked Questions on GCF of 6160 and 6164

1. What is the GCF of 6160 and 6164?

Answer: GCF of 6160 and 6164 is 4.

2. What are the Factors of 6160?

Answer: Factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160. There are 40 integers that are factors of 6160. The greatest factor of 6160 is 6160.

3. What are the Factors of 6164?

Answer: Factors of 6164 are 1, 2, 4, 23, 46, 67, 92, 134, 268, 1541, 3082, 6164. There are 12 integers that are factors of 6164. The greatest factor of 6164 is 6164.

4. How to Find the GCF of 6160 and 6164?

Answer:

Greatest Common Factor of 6160 and 6164 = 4

Step 1: Find the prime factorization of 6160

6160 = 2 x 2 x 2 x 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 6164

6164 = 2 x 2 x 23 x 67

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 6160 and 6164 is 4