Greatest Common Factor of 5169 and 5170

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 5169, 5170 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5169 and 5170 is 1.

GCF(5169,5170) = 1

GCF of 5169 and 5170

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

GCF of:
and

Greatest Common Factor of 5169 and 5170

GCF of 5169 and 5170 is 1

Prime Factorization of 5169


3 5169
1723 1723
1

Prime factors of 5169 are 3,1723. Prime factorization of 5169 in exponential form is:

5169 = 31×17231

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

∴ So by taking common prime factors GCF of 5169 and 5170 is 1

Greatest Common Factor of 5169 and 5170 by matching factors method

Factors of 5169

List of positive integer factors of 5169 that divides 5169 without a remainder.

1,3,1723,5169

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

Greatest Common Factor

We found the factors and prime factorization of 5169 and 5170. The biggest common factor number is the GCF number.
So the greatest common factor 5169 and 5170 is 1.

Also check out the Least Common Multiple of 5169 and 5170

Properties of GCF 5169 and 5170

(i) The GCF of 5169 and 5170 is associative

GCF of 5169 and 5170 = GCF of 5170 and 5169

Frequently Asked Questions on GCF of 5169 and 5170

1. What is the GCF of 5169 and 5170?

Answer: GCF of 5169 and 5170 is 1.

2. What are the Factors of 5169?

Answer: Factors of 5169 are 1, 3, 1723, 5169. There are 4 integers that are factors of 5169. The greatest factor of 5169 is 5169.

3. 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.

4. How to Find the GCF of 5169 and 5170?

Answer:

Greatest Common Factor of 5169 and 5170 = 1

Step 1: Find the prime factorization of 5169

5169 = 3 x 1723

Step 2: Find the prime factorization of 5170

5170 = 2 x 5 x 11 x 47

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5169 and 5170 is 1