Greatest Common Factor of 10165 and 10170

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 10165, 10170 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10165 and 10170 is 5.

GCF(10165,10170) = 5

GCF of 10165 and 10170

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

GCF of:
and

Greatest Common Factor of 10165 and 10170

GCF of 10165 and 10170 is 5

Prime Factorization of 10165


5 10165
19 2033
107 107
1

Prime factors of 10165 are 5,19,107. Prime factorization of 10165 in exponential form is:

10165 = 51×191×1071

Prime Factorization of 10170


2 10170
3 5085
3 1695
5 565
113 113
1

Prime factors of 10170 are 2,3,5,113. Prime factorization of 10170 in exponential form is:

10170 = 21×32×51×1131

∴ So by taking common prime factors GCF of 10165 and 10170 is 5

Greatest Common Factor of 10165 and 10170 by matching factors method

Factors of 10165

List of positive integer factors of 10165 that divides 10165 without a remainder.

1,5,19,95,107,535,2033,10165

Factors of 10170

List of positive integer factors of 10170 that divides 10170 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,113,226,339,565,678,1017,1130,1695,2034,3390,5085,10170

Greatest Common Factor

We found the factors and prime factorization of 10165 and 10170. The biggest common factor number is the GCF number.
So the greatest common factor 10165 and 10170 is 5.

Also check out the Least Common Multiple of 10165 and 10170

Properties of GCF 10165 and 10170

(i) The GCF of 10165 and 10170 is associative

GCF of 10165 and 10170 = GCF of 10170 and 10165

Related Greatest Common Factor of 10165

Related Greatest Common Factor of 10170

Frequently Asked Questions on GCF of 10165 and 10170

1. What is the GCF of 10165 and 10170?

Answer: GCF of 10165 and 10170 is 5.

2. What are the Factors of 10165?

Answer: Factors of 10165 are 1, 5, 19, 95, 107, 535, 2033, 10165. There are 8 integers that are factors of 10165. The greatest factor of 10165 is 10165.

3. What are the Factors of 10170?

Answer: Factors of 10170 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 339, 565, 678, 1017, 1130, 1695, 2034, 3390, 5085, 10170. There are 24 integers that are factors of 10170. The greatest factor of 10170 is 10170.

4. How to Find the GCF of 10165 and 10170?

Answer:

Greatest Common Factor of 10165 and 10170 = 5

Step 1: Find the prime factorization of 10165

10165 = 5 x 19 x 107

Step 2: Find the prime factorization of 10170

10170 = 2 x 3 x 3 x 5 x 113

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

GCF = 5

Step 4: Therefore, the greatest common factor of 10165 and 10170 is 5