Greatest Common Factor of 992 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 992, 1000 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 992 and 1000 is 8.

GCF(992,1000) = 8

GCF of 992 and 1000

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

GCF of:
and

Greatest Common Factor of 992 and 1000

GCF of 992 and 1000 is 8

Prime Factorization of 992


2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 992 are 2,31. Prime factorization of 992 in exponential form is:

992 = 25×311

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 992 and 1000 is 8

Greatest Common Factor of 992 and 1000 by matching factors method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

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 992 and 1000. The biggest common factor number is the GCF number.
So the greatest common factor 992 and 1000 is 8.

Also check out the Least Common Multiple of 992 and 1000

Properties of GCF 992 and 1000

(i) The GCF of 992 and 1000 is associative

GCF of 992 and 1000 = GCF of 1000 and 992

Related Greatest Common Factor of 992

Related Greatest Common Factor of 1000

Frequently Asked Questions on GCF of 992 and 1000

1. What is the GCF of 992 and 1000?

Answer: GCF of 992 and 1000 is 8.

2. What are the Factors of 992?

Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.

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 992 and 1000?

Answer:

Greatest Common Factor of 992 and 1000 = 8

Step 1: Find the prime factorization of 992

992 = 2 x 2 x 2 x 2 x 2 x 31

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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 992 and 1000 is 8