Greatest Common Factor of 7958 and 7966

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 7958, 7966 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7958 and 7966 is 2.

GCF(7958,7966) = 2

GCF of 7958 and 7966

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

GCF of:
and

Greatest Common Factor of 7958 and 7966

GCF of 7958 and 7966 is 2

Prime Factorization of 7958


2 7958
23 3979
173 173
1

Prime factors of 7958 are 2,23,173. Prime factorization of 7958 in exponential form is:

7958 = 21×231×1731

Prime Factorization of 7966


2 7966
7 3983
569 569
1

Prime factors of 7966 are 2,7,569. Prime factorization of 7966 in exponential form is:

7966 = 21×71×5691

∴ So by taking common prime factors GCF of 7958 and 7966 is 2

Greatest Common Factor of 7958 and 7966 by matching factors method

Factors of 7958

List of positive integer factors of 7958 that divides 7958 without a remainder.

1,2,23,46,173,346,3979,7958

Factors of 7966

List of positive integer factors of 7966 that divides 7966 without a remainder.

1,2,7,14,569,1138,3983,7966

Greatest Common Factor

We found the factors and prime factorization of 7958 and 7966. The biggest common factor number is the GCF number.
So the greatest common factor 7958 and 7966 is 2.

Also check out the Least Common Multiple of 7958 and 7966

Properties of GCF 7958 and 7966

(i) The GCF of 7958 and 7966 is associative

GCF of 7958 and 7966 = GCF of 7966 and 7958

Related Greatest Common Factor of 7958

Related Greatest Common Factor of 7966

Frequently Asked Questions on GCF of 7958 and 7966

1. What is the GCF of 7958 and 7966?

Answer: GCF of 7958 and 7966 is 2.

2. What are the Factors of 7958?

Answer: Factors of 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958. There are 8 integers that are factors of 7958. The greatest factor of 7958 is 7958.

3. What are the Factors of 7966?

Answer: Factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966. There are 8 integers that are factors of 7966. The greatest factor of 7966 is 7966.

4. How to Find the GCF of 7958 and 7966?

Answer:

Greatest Common Factor of 7958 and 7966 = 2

Step 1: Find the prime factorization of 7958

7958 = 2 x 23 x 173

Step 2: Find the prime factorization of 7966

7966 = 2 x 7 x 569

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 7958 and 7966 is 2