Greatest Common Factor of 10160 and 10164

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 10160, 10164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10160 and 10164 is 4.

GCF(10160,10164) = 4

GCF of 10160 and 10164

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

GCF of:
and

Greatest Common Factor of 10160 and 10164

GCF of 10160 and 10164 is 4

Prime Factorization of 10160


2 10160
2 5080
2 2540
2 1270
5 635
127 127
1

Prime factors of 10160 are 2,5,127. Prime factorization of 10160 in exponential form is:

10160 = 24×51×1271

Prime Factorization of 10164


2 10164
2 5082
3 2541
7 847
11 121
11 11
1

Prime factors of 10164 are 2,3,7,11. Prime factorization of 10164 in exponential form is:

10164 = 22×31×71×112

∴ So by taking common prime factors GCF of 10160 and 10164 is 4

Greatest Common Factor of 10160 and 10164 by matching factors method

Factors of 10160

List of positive integer factors of 10160 that divides 10160 without a remainder.

1,2,4,5,8,10,16,20,40,80,127,254,508,635,1016,1270,2032,2540,5080,10160

Factors of 10164

List of positive integer factors of 10164 that divides 10164 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,121,132,154,231,242,308,363,462,484,726,847,924,1452,1694,2541,3388,5082,10164

Greatest Common Factor

We found the factors and prime factorization of 10160 and 10164. The biggest common factor number is the GCF number.
So the greatest common factor 10160 and 10164 is 4.

Also check out the Least Common Multiple of 10160 and 10164

Properties of GCF 10160 and 10164

(i) The GCF of 10160 and 10164 is associative

GCF of 10160 and 10164 = GCF of 10164 and 10160

Related Greatest Common Factor of 10160

Related Greatest Common Factor of 10164

Frequently Asked Questions on GCF of 10160 and 10164

1. What is the GCF of 10160 and 10164?

Answer: GCF of 10160 and 10164 is 4.

2. What are the Factors of 10160?

Answer: Factors of 10160 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 127, 254, 508, 635, 1016, 1270, 2032, 2540, 5080, 10160. There are 20 integers that are factors of 10160. The greatest factor of 10160 is 10160.

3. What are the Factors of 10164?

Answer: Factors of 10164 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 121, 132, 154, 231, 242, 308, 363, 462, 484, 726, 847, 924, 1452, 1694, 2541, 3388, 5082, 10164. There are 36 integers that are factors of 10164. The greatest factor of 10164 is 10164.

4. How to Find the GCF of 10160 and 10164?

Answer:

Greatest Common Factor of 10160 and 10164 = 4

Step 1: Find the prime factorization of 10160

10160 = 2 x 2 x 2 x 2 x 5 x 127

Step 2: Find the prime factorization of 10164

10164 = 2 x 2 x 3 x 7 x 11 x 11

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 10160 and 10164 is 4