Greatest Common Factor of 1991 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 1991, 1998 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1991 and 1998 is 1.

GCF(1991,1998) = 1

GCF of 1991 and 1998

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

GCF of:
and

Greatest Common Factor of 1991 and 1998

GCF of 1991 and 1998 is 1

Prime Factorization of 1991


11 1991
181 181
1

Prime factors of 1991 are 11,181. Prime factorization of 1991 in exponential form is:

1991 = 111×1811

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 1991 and 1998 is 1

Greatest Common Factor of 1991 and 1998 by matching factors method

Factors of 1991

List of positive integer factors of 1991 that divides 1991 without a remainder.

1,11,181,1991

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 1991 and 1998. The biggest common factor number is the GCF number.
So the greatest common factor 1991 and 1998 is 1.

Also check out the Least Common Multiple of 1991 and 1998

Properties of GCF 1991 and 1998

(i) The GCF of 1991 and 1998 is associative

GCF of 1991 and 1998 = GCF of 1998 and 1991

Related Greatest Common Factor of 1991

Related Greatest Common Factor of 1998

Frequently Asked Questions on GCF of 1991 and 1998

1. What is the GCF of 1991 and 1998?

Answer: GCF of 1991 and 1998 is 1.

2. What are the Factors of 1991?

Answer: Factors of 1991 are 1, 11, 181, 1991. There are 4 integers that are factors of 1991. The greatest factor of 1991 is 1991.

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 1991 and 1998?

Answer:

Greatest Common Factor of 1991 and 1998 = 1

Step 1: Find the prime factorization of 1991

1991 = 11 x 181

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 = = 1

Step 4: Therefore, the greatest common factor of 1991 and 1998 is 1