Greatest Common Factor of 5168 and 5169

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

Greatest common factor (GCF) of 5168 and 5169 is 1.

GCF(5168,5169) = 1

GCF of 5168 and 5169

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

GCF of:
and

Greatest Common Factor of 5168 and 5169

GCF of 5168 and 5169 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 5169


3 5169
1723 1723
1

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

5169 = 31×17231

∴ So by taking common prime factors GCF of 5168 and 5169 is 1

Greatest Common Factor of 5168 and 5169 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 5169

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

1,3,1723,5169

Greatest Common Factor

We found the factors and prime factorization of 5168 and 5169. The biggest common factor number is the GCF number.
So the greatest common factor 5168 and 5169 is 1.

Also check out the Least Common Multiple of 5168 and 5169

Properties of GCF 5168 and 5169

(i) The GCF of 5168 and 5169 is associative

GCF of 5168 and 5169 = GCF of 5169 and 5168

Frequently Asked Questions on GCF of 5168 and 5169

1. What is the GCF of 5168 and 5169?

Answer: GCF of 5168 and 5169 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 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.

4. How to Find the GCF of 5168 and 5169?

Answer:

Greatest Common Factor of 5168 and 5169 = 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 5169

5169 = 3 x 1723

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 5169 is 1