Greatest Common Factor of 5168 and 5173

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 5168, 5173 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5168 and 5173 is 1.

GCF(5168,5173) = 1

GCF of 5168 and 5173

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

GCF of:
and

Greatest Common Factor of 5168 and 5173

GCF of 5168 and 5173 is 1

Prime Factorization of 5168


2 5168
2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 5168 are 2,17,19. Prime factorization of 5168 in exponential form is:

5168 = 24×171×191

Prime Factorization of 5173


7 5173
739 739
1

Prime factors of 5173 are 7,739. Prime factorization of 5173 in exponential form is:

5173 = 71×7391

∴ So by taking common prime factors GCF of 5168 and 5173 is 1

Greatest Common Factor of 5168 and 5173 by matching factors method

Factors of 5168

List of positive integer factors of 5168 that divides 5168 without a remainder.

1,2,4,8,16,17,19,34,38,68,76,136,152,272,304,323,646,1292,2584,5168

Factors of 5173

List of positive integer factors of 5173 that divides 5173 without a remainder.

1,7,739,5173

Greatest Common Factor

We found the factors and prime factorization of 5168 and 5173. The biggest common factor number is the GCF number.
So the greatest common factor 5168 and 5173 is 1.

Also check out the Least Common Multiple of 5168 and 5173

Properties of GCF 5168 and 5173

(i) The GCF of 5168 and 5173 is associative

GCF of 5168 and 5173 = GCF of 5173 and 5168

Frequently Asked Questions on GCF of 5168 and 5173

1. What is the GCF of 5168 and 5173?

Answer: GCF of 5168 and 5173 is 1.

2. What are the Factors of 5168?

Answer: Factors of 5168 are 1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 646, 1292, 2584, 5168. There are 20 integers that are factors of 5168. The greatest factor of 5168 is 5168.

3. What are the Factors of 5173?

Answer: Factors of 5173 are 1, 7, 739, 5173. There are 4 integers that are factors of 5173. The greatest factor of 5173 is 5173.

4. How to Find the GCF of 5168 and 5173?

Answer:

Greatest Common Factor of 5168 and 5173 = 1

Step 1: Find the prime factorization of 5168

5168 = 2 x 2 x 2 x 2 x 17 x 19

Step 2: Find the prime factorization of 5173

5173 = 7 x 739

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 5168 and 5173 is 1