Greatest Common Factor of 5170 and 5174

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, 5174 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5170 and 5174 is 2.

GCF(5170,5174) = 2

GCF of 5170 and 5174

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

GCF of:
and

Greatest Common Factor of 5170 and 5174

GCF of 5170 and 5174 is 2

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 5174


2 5174
13 2587
199 199
1

Prime factors of 5174 are 2,13,199. Prime factorization of 5174 in exponential form is:

5174 = 21×131×1991

∴ So by taking common prime factors GCF of 5170 and 5174 is 2

Greatest Common Factor of 5170 and 5174 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 5174

List of positive integer factors of 5174 that divides 5174 without a remainder.

1,2,13,26,199,398,2587,5174

Greatest Common Factor

We found the factors and prime factorization of 5170 and 5174. The biggest common factor number is the GCF number.
So the greatest common factor 5170 and 5174 is 2.

Also check out the Least Common Multiple of 5170 and 5174

Properties of GCF 5170 and 5174

(i) The GCF of 5170 and 5174 is associative

GCF of 5170 and 5174 = GCF of 5174 and 5170

Related Greatest Common Factor of 5170

Related Greatest Common Factor of 5174

Frequently Asked Questions on GCF of 5170 and 5174

1. What is the GCF of 5170 and 5174?

Answer: GCF of 5170 and 5174 is 2.

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 5174?

Answer: Factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174. There are 8 integers that are factors of 5174. The greatest factor of 5174 is 5174.

4. How to Find the GCF of 5170 and 5174?

Answer:

Greatest Common Factor of 5170 and 5174 = 2

Step 1: Find the prime factorization of 5170

5170 = 2 x 5 x 11 x 47

Step 2: Find the prime factorization of 5174

5174 = 2 x 13 x 199

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5170 and 5174 is 2