Greatest Common Factor of 1992 and 1998

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 1992, 1998 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1992 and 1998 is 6.

GCF(1992,1998) = 6

GCF of 1992 and 1998

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

GCF of:
and

Greatest Common Factor of 1992 and 1998

GCF of 1992 and 1998 is 6

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

Prime Factorization of 1998


2 1998
3 999
3 333
3 111
37 37
1

Prime factors of 1998 are 2,3,37. Prime factorization of 1998 in exponential form is:

1998 = 21×33×371

∴ So by taking common prime factors GCF of 1992 and 1998 is 6

Greatest Common Factor of 1992 and 1998 by matching factors method

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

Factors of 1998

List of positive integer factors of 1998 that divides 1998 without a remainder.

1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998

Greatest Common Factor

We found the factors and prime factorization of 1992 and 1998. The biggest common factor number is the GCF number.
So the greatest common factor 1992 and 1998 is 6.

Also check out the Least Common Multiple of 1992 and 1998

Properties of GCF 1992 and 1998

(i) The GCF of 1992 and 1998 is associative

GCF of 1992 and 1998 = GCF of 1998 and 1992

Related Greatest Common Factor of 1992

Related Greatest Common Factor of 1998

Frequently Asked Questions on GCF of 1992 and 1998

1. What is the GCF of 1992 and 1998?

Answer: GCF of 1992 and 1998 is 6.

2. 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.

3. What are the Factors of 1998?

Answer: Factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998. There are 16 integers that are factors of 1998. The greatest factor of 1998 is 1998.

4. How to Find the GCF of 1992 and 1998?

Answer:

Greatest Common Factor of 1992 and 1998 = 6

Step 1: Find the prime factorization of 1992

1992 = 2 x 2 x 2 x 3 x 83

Step 2: Find the prime factorization of 1998

1998 = 2 x 3 x 3 x 3 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1992 and 1998 is 6