Greatest Common Factor of 6954 and 6958

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 6954, 6958 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6954 and 6958 is 2.

GCF(6954,6958) = 2

GCF of 6954 and 6958

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

GCF of:
and

Greatest Common Factor of 6954 and 6958

GCF of 6954 and 6958 is 2

Prime Factorization of 6954


2 6954
3 3477
19 1159
61 61
1

Prime factors of 6954 are 2,3,19,61. Prime factorization of 6954 in exponential form is:

6954 = 21×31×191×611

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

∴ So by taking common prime factors GCF of 6954 and 6958 is 2

Greatest Common Factor of 6954 and 6958 by matching factors method

Factors of 6954

List of positive integer factors of 6954 that divides 6954 without a remainder.

1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954

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

Greatest Common Factor

We found the factors and prime factorization of 6954 and 6958. The biggest common factor number is the GCF number.
So the greatest common factor 6954 and 6958 is 2.

Also check out the Least Common Multiple of 6954 and 6958

Properties of GCF 6954 and 6958

(i) The GCF of 6954 and 6958 is associative

GCF of 6954 and 6958 = GCF of 6958 and 6954

Related Greatest Common Factor of 6954

Related Greatest Common Factor of 6958

Frequently Asked Questions on GCF of 6954 and 6958

1. What is the GCF of 6954 and 6958?

Answer: GCF of 6954 and 6958 is 2.

2. What are the Factors of 6954?

Answer: Factors of 6954 are 1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954. There are 16 integers that are factors of 6954. The greatest factor of 6954 is 6954.

3. 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.

4. How to Find the GCF of 6954 and 6958?

Answer:

Greatest Common Factor of 6954 and 6958 = 2

Step 1: Find the prime factorization of 6954

6954 = 2 x 3 x 19 x 61

Step 2: Find the prime factorization of 6958

6958 = 2 x 7 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 = 2

Step 4: Therefore, the greatest common factor of 6954 and 6958 is 2