Greatest Common Factor of 7978 and 7981

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 7978, 7981 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7978 and 7981 is 1.

GCF(7978,7981) = 1

GCF of 7978 and 7981

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

GCF of:
and

Greatest Common Factor of 7978 and 7981

GCF of 7978 and 7981 is 1

Prime Factorization of 7978


2 7978
3989 3989
1

Prime factors of 7978 are 2,3989. Prime factorization of 7978 in exponential form is:

7978 = 21×39891

Prime Factorization of 7981


23 7981
347 347
1

Prime factors of 7981 are 23,347. Prime factorization of 7981 in exponential form is:

7981 = 231×3471

∴ So by taking common prime factors GCF of 7978 and 7981 is 1

Greatest Common Factor of 7978 and 7981 by matching factors method

Factors of 7978

List of positive integer factors of 7978 that divides 7978 without a remainder.

1,2,3989,7978

Factors of 7981

List of positive integer factors of 7981 that divides 7981 without a remainder.

1,23,347,7981

Greatest Common Factor

We found the factors and prime factorization of 7978 and 7981. The biggest common factor number is the GCF number.
So the greatest common factor 7978 and 7981 is 1.

Also check out the Least Common Multiple of 7978 and 7981

Properties of GCF 7978 and 7981

(i) The GCF of 7978 and 7981 is associative

GCF of 7978 and 7981 = GCF of 7981 and 7978

Related Greatest Common Factor of 7978

Related Greatest Common Factor of 7981

Frequently Asked Questions on GCF of 7978 and 7981

1. What is the GCF of 7978 and 7981?

Answer: GCF of 7978 and 7981 is 1.

2. What are the Factors of 7978?

Answer: Factors of 7978 are 1, 2, 3989, 7978. There are 4 integers that are factors of 7978. The greatest factor of 7978 is 7978.

3. What are the Factors of 7981?

Answer: Factors of 7981 are 1, 23, 347, 7981. There are 4 integers that are factors of 7981. The greatest factor of 7981 is 7981.

4. How to Find the GCF of 7978 and 7981?

Answer:

Greatest Common Factor of 7978 and 7981 = 1

Step 1: Find the prime factorization of 7978

7978 = 2 x 3989

Step 2: Find the prime factorization of 7981

7981 = 23 x 347

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 7978 and 7981 is 1