Greatest Common Factor of 1995 and 1996

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 1995, 1996 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1995 and 1996 is 1.

GCF(1995,1996) = 1

GCF of 1995 and 1996

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

GCF of:
and

Greatest Common Factor of 1995 and 1996

GCF of 1995 and 1996 is 1

Prime Factorization of 1995


3 1995
5 665
7 133
19 19
1

Prime factors of 1995 are 3,5,7,19. Prime factorization of 1995 in exponential form is:

1995 = 31×51×71×191

Prime Factorization of 1996


2 1996
2 998
499 499
1

Prime factors of 1996 are 2,499. Prime factorization of 1996 in exponential form is:

1996 = 22×4991

∴ So by taking common prime factors GCF of 1995 and 1996 is 1

Greatest Common Factor of 1995 and 1996 by matching factors method

Factors of 1995

List of positive integer factors of 1995 that divides 1995 without a remainder.

1,3,5,7,15,19,21,35,57,95,105,133,285,399,665,1995

Factors of 1996

List of positive integer factors of 1996 that divides 1996 without a remainder.

1,2,4,499,998,1996

Greatest Common Factor

We found the factors and prime factorization of 1995 and 1996. The biggest common factor number is the GCF number.
So the greatest common factor 1995 and 1996 is 1.

Also check out the Least Common Multiple of 1995 and 1996

Properties of GCF 1995 and 1996

(i) The GCF of 1995 and 1996 is associative

GCF of 1995 and 1996 = GCF of 1996 and 1995

Related Greatest Common Factor of 1995

Related Greatest Common Factor of 1996

Frequently Asked Questions on GCF of 1995 and 1996

1. What is the GCF of 1995 and 1996?

Answer: GCF of 1995 and 1996 is 1.

2. What are the Factors of 1995?

Answer: Factors of 1995 are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665, 1995. There are 16 integers that are factors of 1995. The greatest factor of 1995 is 1995.

3. What are the Factors of 1996?

Answer: Factors of 1996 are 1, 2, 4, 499, 998, 1996. There are 6 integers that are factors of 1996. The greatest factor of 1996 is 1996.

4. How to Find the GCF of 1995 and 1996?

Answer:

Greatest Common Factor of 1995 and 1996 = 1

Step 1: Find the prime factorization of 1995

1995 = 3 x 5 x 7 x 19

Step 2: Find the prime factorization of 1996

1996 = 2 x 2 x 499

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 1995 and 1996 is 1