Greatest Common Factor of 5012 and 5017

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 5012, 5017 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5012 and 5017 is 1.

GCF(5012,5017) = 1

GCF of 5012 and 5017

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

GCF of:
and

Greatest Common Factor of 5012 and 5017

GCF of 5012 and 5017 is 1

Prime Factorization of 5012


2 5012
2 2506
7 1253
179 179
1

Prime factors of 5012 are 2,7,179. Prime factorization of 5012 in exponential form is:

5012 = 22×71×1791

Prime Factorization of 5017


29 5017
173 173
1

Prime factors of 5017 are 29,173. Prime factorization of 5017 in exponential form is:

5017 = 291×1731

∴ So by taking common prime factors GCF of 5012 and 5017 is 1

Greatest Common Factor of 5012 and 5017 by matching factors method

Factors of 5012

List of positive integer factors of 5012 that divides 5012 without a remainder.

1,2,4,7,14,28,179,358,716,1253,2506,5012

Factors of 5017

List of positive integer factors of 5017 that divides 5017 without a remainder.

1,29,173,5017

Greatest Common Factor

We found the factors and prime factorization of 5012 and 5017. The biggest common factor number is the GCF number.
So the greatest common factor 5012 and 5017 is 1.

Also check out the Least Common Multiple of 5012 and 5017

Properties of GCF 5012 and 5017

(i) The GCF of 5012 and 5017 is associative

GCF of 5012 and 5017 = GCF of 5017 and 5012

Related Greatest Common Factor of 5012

Related Greatest Common Factor of 5017

Frequently Asked Questions on GCF of 5012 and 5017

1. What is the GCF of 5012 and 5017?

Answer: GCF of 5012 and 5017 is 1.

2. What are the Factors of 5012?

Answer: Factors of 5012 are 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012. There are 12 integers that are factors of 5012. The greatest factor of 5012 is 5012.

3. What are the Factors of 5017?

Answer: Factors of 5017 are 1, 29, 173, 5017. There are 4 integers that are factors of 5017. The greatest factor of 5017 is 5017.

4. How to Find the GCF of 5012 and 5017?

Answer:

Greatest Common Factor of 5012 and 5017 = 1

Step 1: Find the prime factorization of 5012

5012 = 2 x 2 x 7 x 179

Step 2: Find the prime factorization of 5017

5017 = 29 x 173

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 5012 and 5017 is 1