Greatest Common Factor of 10157 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 10157, 10164 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10157 and 10164 is 7.

GCF(10157,10164) = 7

GCF of 10157 and 10164

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

GCF of:
and

Greatest Common Factor of 10157 and 10164

GCF of 10157 and 10164 is 7

Prime Factorization of 10157


7 10157
1451 1451
1

Prime factors of 10157 are 7,1451. Prime factorization of 10157 in exponential form is:

10157 = 71×14511

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 10157 and 10164 is 7

Greatest Common Factor of 10157 and 10164 by matching factors method

Factors of 10157

List of positive integer factors of 10157 that divides 10157 without a remainder.

1,7,1451,10157

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 10157 and 10164. The biggest common factor number is the GCF number.
So the greatest common factor 10157 and 10164 is 7.

Also check out the Least Common Multiple of 10157 and 10164

Properties of GCF 10157 and 10164

(i) The GCF of 10157 and 10164 is associative

GCF of 10157 and 10164 = GCF of 10164 and 10157

Related Greatest Common Factor of 10157

Related Greatest Common Factor of 10164

Frequently Asked Questions on GCF of 10157 and 10164

1. What is the GCF of 10157 and 10164?

Answer: GCF of 10157 and 10164 is 7.

2. What are the Factors of 10157?

Answer: Factors of 10157 are 1, 7, 1451, 10157. There are 4 integers that are factors of 10157. The greatest factor of 10157 is 10157.

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 10157 and 10164?

Answer:

Greatest Common Factor of 10157 and 10164 = 7

Step 1: Find the prime factorization of 10157

10157 = 7 x 1451

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 = 7

Step 4: Therefore, the greatest common factor of 10157 and 10164 is 7