Greatest Common Factor of 5170 and 5175

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 5170, 5175 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5170 and 5175 is 5.

GCF(5170,5175) = 5

GCF of 5170 and 5175

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

GCF of:
and

Greatest Common Factor of 5170 and 5175

GCF of 5170 and 5175 is 5

Prime Factorization of 5170


2 5170
5 2585
11 517
47 47
1

Prime factors of 5170 are 2,5,11,47. Prime factorization of 5170 in exponential form is:

5170 = 21×51×111×471

Prime Factorization of 5175


3 5175
3 1725
5 575
5 115
23 23
1

Prime factors of 5175 are 3,5,23. Prime factorization of 5175 in exponential form is:

5175 = 32×52×231

∴ So by taking common prime factors GCF of 5170 and 5175 is 5

Greatest Common Factor of 5170 and 5175 by matching factors method

Factors of 5170

List of positive integer factors of 5170 that divides 5170 without a remainder.

1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170

Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175

Greatest Common Factor

We found the factors and prime factorization of 5170 and 5175. The biggest common factor number is the GCF number.
So the greatest common factor 5170 and 5175 is 5.

Also check out the Least Common Multiple of 5170 and 5175

Properties of GCF 5170 and 5175

(i) The GCF of 5170 and 5175 is associative

GCF of 5170 and 5175 = GCF of 5175 and 5170

Related Greatest Common Factor of 5170

Related Greatest Common Factor of 5175

Frequently Asked Questions on GCF of 5170 and 5175

1. What is the GCF of 5170 and 5175?

Answer: GCF of 5170 and 5175 is 5.

2. What are the Factors of 5170?

Answer: Factors of 5170 are 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170. There are 16 integers that are factors of 5170. The greatest factor of 5170 is 5170.

3. What are the Factors of 5175?

Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.

4. How to Find the GCF of 5170 and 5175?

Answer:

Greatest Common Factor of 5170 and 5175 = 5

Step 1: Find the prime factorization of 5170

5170 = 2 x 5 x 11 x 47

Step 2: Find the prime factorization of 5175

5175 = 3 x 3 x 5 x 5 x 23

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 5170 and 5175 is 5