Greatest Common Factor of 5009 and 5014

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 5009, 5014 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5009 and 5014 is 1.

GCF(5009,5014) = 1

GCF of 5009 and 5014

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

GCF of:
and

Greatest Common Factor of 5009 and 5014

GCF of 5009 and 5014 is 1

Prime Factorization of 5009


5009 5009
1

Prime factors of 5009 are 5009. Prime factorization of 5009 in exponential form is:

5009 = 50091

Prime Factorization of 5014


2 5014
23 2507
109 109
1

Prime factors of 5014 are 2.Prime factorization of 5014 in exponential form is:

5014 = 21×231×1091

∴ So by taking common prime factors GCF of 5009 and 5014 is 1

Greatest Common Factor of 5009 and 5014 by matching factors method

Factors of 5009

List of positive integer factors of 5009 that divides 5009 without a remainder.

1,5009

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1,2,23,46,109,218,2507,5014

Greatest Common Factor

We found the factors and prime factorization of 5009 and 5014. The biggest common factor number is the GCF number.
So the greatest common factor 5009 and 5014 is 1.

Also check out the Least Common Multiple of 5009 and 5014

Properties of GCF 5009 and 5014

(i) The GCF of 5009 and 5014 is associative

GCF of 5009 and 5014 = GCF of 5014 and 5009

Related Greatest Common Factor of 5009

Related Greatest Common Factor of 5014

Frequently Asked Questions on GCF of 5009 and 5014

1. What is the GCF of 5009 and 5014?

Answer: GCF of 5009 and 5014 is 1.

2. What are the Factors of 5009?

Answer: Factors of 5009 are 1, 5009. There are 2 integers that are factors of 5009. The greatest factor of 5009 is 5009.

3. What are the Factors of 5014?

Answer: Factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014. There are 8 integers that are factors of 5014. The greatest factor of 5014 is 5014.

4. How to Find the GCF of 5009 and 5014?

Answer:

Greatest Common Factor of 5009 and 5014 = 1

Step 1: Find the prime factorization of 5009

5009 = 5009

Step 2: Find the prime factorization of 5014

5014 = 2 x 23 x 109

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 5009 and 5014 is 1