Greatest Common Factor of 1990 and 1992

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, 1992 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1990 and 1992 is 2.

GCF(1990,1992) = 2

GCF of 1990 and 1992

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

GCF of:
and

Greatest Common Factor of 1990 and 1992

GCF of 1990 and 1992 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 1992


2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 1992 are 2,3,83. Prime factorization of 1992 in exponential form is:

1992 = 23×31×831

∴ So by taking common prime factors GCF of 1990 and 1992 is 2

Greatest Common Factor of 1990 and 1992 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 1992

List of positive integer factors of 1992 that divides 1992 without a remainder.

1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992

Greatest Common Factor

We found the factors and prime factorization of 1990 and 1992. The biggest common factor number is the GCF number.
So the greatest common factor 1990 and 1992 is 2.

Also check out the Least Common Multiple of 1990 and 1992

Properties of GCF 1990 and 1992

(i) The GCF of 1990 and 1992 is associative

GCF of 1990 and 1992 = GCF of 1992 and 1990

Related Greatest Common Factor of 1990

Related Greatest Common Factor of 1992

Frequently Asked Questions on GCF of 1990 and 1992

1. What is the GCF of 1990 and 1992?

Answer: GCF of 1990 and 1992 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 1992?

Answer: Factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992. There are 16 integers that are factors of 1992. The greatest factor of 1992 is 1992.

4. How to Find the GCF of 1990 and 1992?

Answer:

Greatest Common Factor of 1990 and 1992 = 2

Step 1: Find the prime factorization of 1990

1990 = 2 x 5 x 199

Step 2: Find the prime factorization of 1992

1992 = 2 x 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 = 2

Step 4: Therefore, the greatest common factor of 1990 and 1992 is 2