Greatest Common Factor of 10170 and 10175

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 10170, 10175 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10170 and 10175 is 5.

GCF(10170,10175) = 5

GCF of 10170 and 10175

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

GCF of:
and

Greatest Common Factor of 10170 and 10175

GCF of 10170 and 10175 is 5

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

Prime Factorization of 10175


5 10175
5 2035
11 407
37 37
1

Prime factors of 10175 are 5,11,37. Prime factorization of 10175 in exponential form is:

10175 = 52×111×371

∴ So by taking common prime factors GCF of 10170 and 10175 is 5

Greatest Common Factor of 10170 and 10175 by matching factors method

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

Factors of 10175

List of positive integer factors of 10175 that divides 10175 without a remainder.

1,5,11,25,37,55,185,275,407,925,2035,10175

Greatest Common Factor

We found the factors and prime factorization of 10170 and 10175. The biggest common factor number is the GCF number.
So the greatest common factor 10170 and 10175 is 5.

Also check out the Least Common Multiple of 10170 and 10175

Properties of GCF 10170 and 10175

(i) The GCF of 10170 and 10175 is associative

GCF of 10170 and 10175 = GCF of 10175 and 10170

Related Greatest Common Factor of 10170

Related Greatest Common Factor of 10175

Frequently Asked Questions on GCF of 10170 and 10175

1. What is the GCF of 10170 and 10175?

Answer: GCF of 10170 and 10175 is 5.

2. 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.

3. What are the Factors of 10175?

Answer: Factors of 10175 are 1, 5, 11, 25, 37, 55, 185, 275, 407, 925, 2035, 10175. There are 12 integers that are factors of 10175. The greatest factor of 10175 is 10175.

4. How to Find the GCF of 10170 and 10175?

Answer:

Greatest Common Factor of 10170 and 10175 = 5

Step 1: Find the prime factorization of 10170

10170 = 2 x 3 x 3 x 5 x 113

Step 2: Find the prime factorization of 10175

10175 = 5 x 5 x 11 x 37

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 10170 and 10175 is 5