Greatest Common Factor of 1978 and 1982

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 1978, 1982 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1978 and 1982 is 2.

GCF(1978,1982) = 2

GCF of 1978 and 1982

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

GCF of:
and

Greatest Common Factor of 1978 and 1982

GCF of 1978 and 1982 is 2

Prime Factorization of 1978


2 1978
23 989
43 43
1

Prime factors of 1978 are 2,23,43. Prime factorization of 1978 in exponential form is:

1978 = 21×231×431

Prime Factorization of 1982


2 1982
991 991
1

Prime factors of 1982 are 2,991. Prime factorization of 1982 in exponential form is:

1982 = 21×9911

∴ So by taking common prime factors GCF of 1978 and 1982 is 2

Greatest Common Factor of 1978 and 1982 by matching factors method

Factors of 1978

List of positive integer factors of 1978 that divides 1978 without a remainder.

1,2,23,43,46,86,989,1978

Factors of 1982

List of positive integer factors of 1982 that divides 1982 without a remainder.

1,2,991,1982

Greatest Common Factor

We found the factors and prime factorization of 1978 and 1982. The biggest common factor number is the GCF number.
So the greatest common factor 1978 and 1982 is 2.

Also check out the Least Common Multiple of 1978 and 1982

Properties of GCF 1978 and 1982

(i) The GCF of 1978 and 1982 is associative

GCF of 1978 and 1982 = GCF of 1982 and 1978

Related Greatest Common Factor of 1978

Related Greatest Common Factor of 1982

Frequently Asked Questions on GCF of 1978 and 1982

1. What is the GCF of 1978 and 1982?

Answer: GCF of 1978 and 1982 is 2.

2. What are the Factors of 1978?

Answer: Factors of 1978 are 1, 2, 23, 43, 46, 86, 989, 1978. There are 8 integers that are factors of 1978. The greatest factor of 1978 is 1978.

3. What are the Factors of 1982?

Answer: Factors of 1982 are 1, 2, 991, 1982. There are 4 integers that are factors of 1982. The greatest factor of 1982 is 1982.

4. How to Find the GCF of 1978 and 1982?

Answer:

Greatest Common Factor of 1978 and 1982 = 2

Step 1: Find the prime factorization of 1978

1978 = 2 x 23 x 43

Step 2: Find the prime factorization of 1982

1982 = 2 x 991

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 1978 and 1982 is 2