Greatest Common Factor of 998 and 1000

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 998, 1000 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 998 and 1000 is 2.

GCF(998,1000) = 2

GCF of 998 and 1000

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

GCF of:
and

Greatest Common Factor of 998 and 1000

GCF of 998 and 1000 is 2

Prime Factorization of 998


2 998
499 499
1

Prime factors of 998 are 2,499. Prime factorization of 998 in exponential form is:

998 = 21×4991

Prime Factorization of 1000


2 1000
2 500
2 250
5 125
5 25
5 5
1

Prime factors of 1000 are 2,5. Prime factorization of 1000 in exponential form is:

1000 = 23×53

∴ So by taking common prime factors GCF of 998 and 1000 is 2

Greatest Common Factor of 998 and 1000 by matching factors method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 1000

List of positive integer factors of 1000 that divides 1000 without a remainder.

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

Greatest Common Factor

We found the factors and prime factorization of 998 and 1000. The biggest common factor number is the GCF number.
So the greatest common factor 998 and 1000 is 2.

Also check out the Least Common Multiple of 998 and 1000

Properties of GCF 998 and 1000

(i) The GCF of 998 and 1000 is associative

GCF of 998 and 1000 = GCF of 1000 and 998

Related Greatest Common Factor of 998

Related Greatest Common Factor of 1000

Frequently Asked Questions on GCF of 998 and 1000

1. What is the GCF of 998 and 1000?

Answer: GCF of 998 and 1000 is 2.

2. What are the Factors of 998?

Answer: Factors of 998 are 1, 2, 499, 998. There are 4 integers that are factors of 998. The greatest factor of 998 is 998.

3. What are the Factors of 1000?

Answer: Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. There are 16 integers that are factors of 1000. The greatest factor of 1000 is 1000.

4. How to Find the GCF of 998 and 1000?

Answer:

Greatest Common Factor of 998 and 1000 = 2

Step 1: Find the prime factorization of 998

998 = 2 x 499

Step 2: Find the prime factorization of 1000

1000 = 2 x 2 x 2 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 = 2

Step 4: Therefore, the greatest common factor of 998 and 1000 is 2