Greatest Common Factor of 986 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 986, 992 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 986 and 992 is 2.

GCF(986,992) = 2

GCF of 986 and 992

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

GCF of:
and

Greatest Common Factor of 986 and 992

GCF of 986 and 992 is 2

Prime Factorization of 986


2 986
17 493
29 29
1

Prime factors of 986 are 2,17,29. Prime factorization of 986 in exponential form is:

986 = 21×171×291

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 986 and 992 is 2

Greatest Common Factor of 986 and 992 by matching factors method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

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 986 and 992. The biggest common factor number is the GCF number.
So the greatest common factor 986 and 992 is 2.

Also check out the Least Common Multiple of 986 and 992

Properties of GCF 986 and 992

(i) The GCF of 986 and 992 is associative

GCF of 986 and 992 = GCF of 992 and 986

Related Greatest Common Factor of 986

Related Greatest Common Factor of 992

Frequently Asked Questions on GCF of 986 and 992

1. What is the GCF of 986 and 992?

Answer: GCF of 986 and 992 is 2.

2. What are the Factors of 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

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 986 and 992?

Answer:

Greatest Common Factor of 986 and 992 = 2

Step 1: Find the prime factorization of 986

986 = 2 x 17 x 29

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

Step 4: Therefore, the greatest common factor of 986 and 992 is 2