Greatest Common Factor of 1981 and 1988

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 1981, 1988 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1981 and 1988 is 7.

GCF(1981,1988) = 7

GCF of 1981 and 1988

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

GCF of:
and

Greatest Common Factor of 1981 and 1988

GCF of 1981 and 1988 is 7

Prime Factorization of 1981


7 1981
283 283
1

Prime factors of 1981 are 7,283. Prime factorization of 1981 in exponential form is:

1981 = 71×2831

Prime Factorization of 1988


2 1988
2 994
7 497
71 71
1

Prime factors of 1988 are 2,7,71. Prime factorization of 1988 in exponential form is:

1988 = 22×71×711

∴ So by taking common prime factors GCF of 1981 and 1988 is 7

Greatest Common Factor of 1981 and 1988 by matching factors method

Factors of 1981

List of positive integer factors of 1981 that divides 1981 without a remainder.

1,7,283,1981

Factors of 1988

List of positive integer factors of 1988 that divides 1988 without a remainder.

1,2,4,7,14,28,71,142,284,497,994,1988

Greatest Common Factor

We found the factors and prime factorization of 1981 and 1988. The biggest common factor number is the GCF number.
So the greatest common factor 1981 and 1988 is 7.

Also check out the Least Common Multiple of 1981 and 1988

Properties of GCF 1981 and 1988

(i) The GCF of 1981 and 1988 is associative

GCF of 1981 and 1988 = GCF of 1988 and 1981

Related Greatest Common Factor of 1981

Related Greatest Common Factor of 1988

Frequently Asked Questions on GCF of 1981 and 1988

1. What is the GCF of 1981 and 1988?

Answer: GCF of 1981 and 1988 is 7.

2. What are the Factors of 1981?

Answer: Factors of 1981 are 1, 7, 283, 1981. There are 4 integers that are factors of 1981. The greatest factor of 1981 is 1981.

3. What are the Factors of 1988?

Answer: Factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988. There are 12 integers that are factors of 1988. The greatest factor of 1988 is 1988.

4. How to Find the GCF of 1981 and 1988?

Answer:

Greatest Common Factor of 1981 and 1988 = 7

Step 1: Find the prime factorization of 1981

1981 = 7 x 283

Step 2: Find the prime factorization of 1988

1988 = 2 x 2 x 7 x 71

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1981 and 1988 is 7