Greatest Common Factor of 10164 and 10172

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 10164, 10172 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10164 and 10172 is 4.

GCF(10164,10172) = 4

GCF of 10164 and 10172

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

GCF of:
and

Greatest Common Factor of 10164 and 10172

GCF of 10164 and 10172 is 4

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

Prime Factorization of 10172


2 10172
2 5086
2543 2543
1

Prime factors of 10172 are 2,2543. Prime factorization of 10172 in exponential form is:

10172 = 22×25431

∴ So by taking common prime factors GCF of 10164 and 10172 is 4

Greatest Common Factor of 10164 and 10172 by matching factors method

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

Factors of 10172

List of positive integer factors of 10172 that divides 10172 without a remainder.

1,2,4,2543,5086,10172

Greatest Common Factor

We found the factors and prime factorization of 10164 and 10172. The biggest common factor number is the GCF number.
So the greatest common factor 10164 and 10172 is 4.

Also check out the Least Common Multiple of 10164 and 10172

Properties of GCF 10164 and 10172

(i) The GCF of 10164 and 10172 is associative

GCF of 10164 and 10172 = GCF of 10172 and 10164

Related Greatest Common Factor of 10164

Related Greatest Common Factor of 10172

Frequently Asked Questions on GCF of 10164 and 10172

1. What is the GCF of 10164 and 10172?

Answer: GCF of 10164 and 10172 is 4.

2. 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.

3. What are the Factors of 10172?

Answer: Factors of 10172 are 1, 2, 4, 2543, 5086, 10172. There are 6 integers that are factors of 10172. The greatest factor of 10172 is 10172.

4. How to Find the GCF of 10164 and 10172?

Answer:

Greatest Common Factor of 10164 and 10172 = 4

Step 1: Find the prime factorization of 10164

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

Step 2: Find the prime factorization of 10172

10172 = 2 x 2 x 2543

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 10164 and 10172 is 4