Greatest Common Factor of 984 and 992

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 984, 992 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 984 and 992 is 8.

GCF(984,992) = 8

GCF of 984 and 992

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

GCF of:
and

Greatest Common Factor of 984 and 992

GCF of 984 and 992 is 8

Prime Factorization of 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2,3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

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

∴ So by taking common prime factors GCF of 984 and 992 is 8

Greatest Common Factor of 984 and 992 by matching factors method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

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

Greatest Common Factor

We found the factors and prime factorization of 984 and 992. The biggest common factor number is the GCF number.
So the greatest common factor 984 and 992 is 8.

Also check out the Least Common Multiple of 984 and 992

Properties of GCF 984 and 992

(i) The GCF of 984 and 992 is associative

GCF of 984 and 992 = GCF of 992 and 984

Related Greatest Common Factor of 984

Related Greatest Common Factor of 992

Frequently Asked Questions on GCF of 984 and 992

1. What is the GCF of 984 and 992?

Answer: GCF of 984 and 992 is 8.

2. What are the Factors of 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

3. 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.

4. How to Find the GCF of 984 and 992?

Answer:

Greatest Common Factor of 984 and 992 = 8

Step 1: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 992

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

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 984 and 992 is 8