Greatest Common Factor of 1990 and 1994

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 1990, 1994 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1990 and 1994 is 2.

GCF(1990,1994) = 2

GCF of 1990 and 1994

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

GCF of:
and

Greatest Common Factor of 1990 and 1994

GCF of 1990 and 1994 is 2

Prime Factorization of 1990


2 1990
5 995
199 199
1

Prime factors of 1990 are 2,5,199. Prime factorization of 1990 in exponential form is:

1990 = 21×51×1991

Prime Factorization of 1994


2 1994
997 997
1

Prime factors of 1994 are 2,997. Prime factorization of 1994 in exponential form is:

1994 = 21×9971

∴ So by taking common prime factors GCF of 1990 and 1994 is 2

Greatest Common Factor of 1990 and 1994 by matching factors method

Factors of 1990

List of positive integer factors of 1990 that divides 1990 without a remainder.

1,2,5,10,199,398,995,1990

Factors of 1994

List of positive integer factors of 1994 that divides 1994 without a remainder.

1,2,997,1994

Greatest Common Factor

We found the factors and prime factorization of 1990 and 1994. The biggest common factor number is the GCF number.
So the greatest common factor 1990 and 1994 is 2.

Also check out the Least Common Multiple of 1990 and 1994

Properties of GCF 1990 and 1994

(i) The GCF of 1990 and 1994 is associative

GCF of 1990 and 1994 = GCF of 1994 and 1990

Related Greatest Common Factor of 1990

Related Greatest Common Factor of 1994

Frequently Asked Questions on GCF of 1990 and 1994

1. What is the GCF of 1990 and 1994?

Answer: GCF of 1990 and 1994 is 2.

2. What are the Factors of 1990?

Answer: Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990. There are 8 integers that are factors of 1990. The greatest factor of 1990 is 1990.

3. What are the Factors of 1994?

Answer: Factors of 1994 are 1, 2, 997, 1994. There are 4 integers that are factors of 1994. The greatest factor of 1994 is 1994.

4. How to Find the GCF of 1990 and 1994?

Answer:

Greatest Common Factor of 1990 and 1994 = 2

Step 1: Find the prime factorization of 1990

1990 = 2 x 5 x 199

Step 2: Find the prime factorization of 1994

1994 = 2 x 997

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 1990 and 1994 is 2