Greatest Common Factor of 996 and 997

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 996, 997 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 996 and 997 is 1.

GCF(996,997) = 1

GCF of 996 and 997

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

GCF of:
and

Greatest Common Factor of 996 and 997

GCF of 996 and 997 is 1

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

Prime Factorization of 997


997 997
1

Prime factors of 997 are 997. Prime factorization of 997 in exponential form is:

997 = 9971

∴ So by taking common prime factors GCF of 996 and 997 is 1

Greatest Common Factor of 996 and 997 by matching factors method

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

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors and prime factorization of 996 and 997. The biggest common factor number is the GCF number.
So the greatest common factor 996 and 997 is 1.

Also check out the Least Common Multiple of 996 and 997

Properties of GCF 996 and 997

(i) The GCF of 996 and 997 is associative

GCF of 996 and 997 = GCF of 997 and 996

Related Greatest Common Factor of 996

Related Greatest Common Factor of 997

Frequently Asked Questions on GCF of 996 and 997

1. What is the GCF of 996 and 997?

Answer: GCF of 996 and 997 is 1.

2. 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.

3. What are the Factors of 997?

Answer: Factors of 997 are 1, 997. There are 2 integers that are factors of 997. The greatest factor of 997 is 997.

4. How to Find the GCF of 996 and 997?

Answer:

Greatest Common Factor of 996 and 997 = 1

Step 1: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

Step 2: Find the prime factorization of 997

997 = 997

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 996 and 997 is 1