Greatest Common Factor of 989 and 996

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 989, 996 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 989 and 996 is 1.

GCF(989,996) = 1

GCF of 989 and 996

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

GCF of:
and

Greatest Common Factor of 989 and 996

GCF of 989 and 996 is 1

Prime Factorization of 989


23 989
43 43
1

Prime factors of 989 are 23,43. Prime factorization of 989 in exponential form is:

989 = 231×431

Prime Factorization of 996


2 996
2 498
3 249
83 83
1

Prime factors of 996 are 2,3,83. Prime factorization of 996 in exponential form is:

996 = 22×31×831

∴ So by taking common prime factors GCF of 989 and 996 is 1

Greatest Common Factor of 989 and 996 by matching factors method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors and prime factorization of 989 and 996. The biggest common factor number is the GCF number.
So the greatest common factor 989 and 996 is 1.

Also check out the Least Common Multiple of 989 and 996

Properties of GCF 989 and 996

(i) The GCF of 989 and 996 is associative

GCF of 989 and 996 = GCF of 996 and 989

Related Greatest Common Factor of 989

Related Greatest Common Factor of 996

Frequently Asked Questions on GCF of 989 and 996

1. What is the GCF of 989 and 996?

Answer: GCF of 989 and 996 is 1.

2. What are the Factors of 989?

Answer: Factors of 989 are 1, 23, 43, 989. There are 4 integers that are factors of 989. The greatest factor of 989 is 989.

3. What are the Factors of 996?

Answer: Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. There are 12 integers that are factors of 996. The greatest factor of 996 is 996.

4. How to Find the GCF of 989 and 996?

Answer:

Greatest Common Factor of 989 and 996 = 1

Step 1: Find the prime factorization of 989

989 = 23 x 43

Step 2: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

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 989 and 996 is 1