Greatest Common Factor of 4997 and 5000

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 4997, 5000 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4997 and 5000 is 1.

GCF(4997,5000) = 1

GCF of 4997 and 5000

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

GCF of:
and

Greatest Common Factor of 4997 and 5000

GCF of 4997 and 5000 is 1

Prime Factorization of 4997


19 4997
263 263
1

Prime factors of 4997 are 19,263. Prime factorization of 4997 in exponential form is:

4997 = 191×2631

Prime Factorization of 5000


2 5000
2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 5000 are 2,5. Prime factorization of 5000 in exponential form is:

5000 = 23×54

∴ So by taking common prime factors GCF of 4997 and 5000 is 1

Greatest Common Factor of 4997 and 5000 by matching factors method

Factors of 4997

List of positive integer factors of 4997 that divides 4997 without a remainder.

1,19,263,4997

Factors of 5000

List of positive integer factors of 5000 that divides 5000 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000

Greatest Common Factor

We found the factors and prime factorization of 4997 and 5000. The biggest common factor number is the GCF number.
So the greatest common factor 4997 and 5000 is 1.

Also check out the Least Common Multiple of 4997 and 5000

Properties of GCF 4997 and 5000

(i) The GCF of 4997 and 5000 is associative

GCF of 4997 and 5000 = GCF of 5000 and 4997

Related Greatest Common Factor of 4997

Related Greatest Common Factor of 5000

Frequently Asked Questions on GCF of 4997 and 5000

1. What is the GCF of 4997 and 5000?

Answer: GCF of 4997 and 5000 is 1.

2. What are the Factors of 4997?

Answer: Factors of 4997 are 1, 19, 263, 4997. There are 4 integers that are factors of 4997. The greatest factor of 4997 is 4997.

3. What are the Factors of 5000?

Answer: Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. There are 20 integers that are factors of 5000. The greatest factor of 5000 is 5000.

4. How to Find the GCF of 4997 and 5000?

Answer:

Greatest Common Factor of 4997 and 5000 = 1

Step 1: Find the prime factorization of 4997

4997 = 19 x 263

Step 2: Find the prime factorization of 5000

5000 = 2 x 2 x 2 x 5 x 5 x 5 x 5

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 4997 and 5000 is 1