Greatest Common Factor of 6958 and 6964

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 6958, 6964 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6958 and 6964 is 2.

GCF(6958,6964) = 2

GCF of 6958 and 6964

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

GCF of:
and

Greatest Common Factor of 6958 and 6964

GCF of 6958 and 6964 is 2

Prime Factorization of 6958


2 6958
7 3479
7 497
71 71
1

Prime factors of 6958 are 2,7,71. Prime factorization of 6958 in exponential form is:

6958 = 21×72×711

Prime Factorization of 6964


2 6964
2 3482
1741 1741
1

Prime factors of 6964 are 2,1741. Prime factorization of 6964 in exponential form is:

6964 = 22×17411

∴ So by taking common prime factors GCF of 6958 and 6964 is 2

Greatest Common Factor of 6958 and 6964 by matching factors method

Factors of 6958

List of positive integer factors of 6958 that divides 6958 without a remainder.

1,2,7,14,49,71,98,142,497,994,3479,6958

Factors of 6964

List of positive integer factors of 6964 that divides 6964 without a remainder.

1,2,4,1741,3482,6964

Greatest Common Factor

We found the factors and prime factorization of 6958 and 6964. The biggest common factor number is the GCF number.
So the greatest common factor 6958 and 6964 is 2.

Also check out the Least Common Multiple of 6958 and 6964

Properties of GCF 6958 and 6964

(i) The GCF of 6958 and 6964 is associative

GCF of 6958 and 6964 = GCF of 6964 and 6958

Related Greatest Common Factor of 6958

Related Greatest Common Factor of 6964

Frequently Asked Questions on GCF of 6958 and 6964

1. What is the GCF of 6958 and 6964?

Answer: GCF of 6958 and 6964 is 2.

2. What are the Factors of 6958?

Answer: Factors of 6958 are 1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958. There are 12 integers that are factors of 6958. The greatest factor of 6958 is 6958.

3. What are the Factors of 6964?

Answer: Factors of 6964 are 1, 2, 4, 1741, 3482, 6964. There are 6 integers that are factors of 6964. The greatest factor of 6964 is 6964.

4. How to Find the GCF of 6958 and 6964?

Answer:

Greatest Common Factor of 6958 and 6964 = 2

Step 1: Find the prime factorization of 6958

6958 = 2 x 7 x 7 x 71

Step 2: Find the prime factorization of 6964

6964 = 2 x 2 x 1741

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 6958 and 6964 is 2