Greatest Common Factor of 6954 and 6962

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, 6962 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6954 and 6962 is 2.

GCF(6954,6962) = 2

GCF of 6954 and 6962

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

GCF of:
and

Greatest Common Factor of 6954 and 6962

GCF of 6954 and 6962 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 6962


2 6962
59 3481
59 59
1

Prime factors of 6962 are 2,59. Prime factorization of 6962 in exponential form is:

6962 = 21×592

∴ So by taking common prime factors GCF of 6954 and 6962 is 2

Greatest Common Factor of 6954 and 6962 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 6962

List of positive integer factors of 6962 that divides 6962 without a remainder.

1,2,59,118,3481,6962

Greatest Common Factor

We found the factors and prime factorization of 6954 and 6962. The biggest common factor number is the GCF number.
So the greatest common factor 6954 and 6962 is 2.

Also check out the Least Common Multiple of 6954 and 6962

Properties of GCF 6954 and 6962

(i) The GCF of 6954 and 6962 is associative

GCF of 6954 and 6962 = GCF of 6962 and 6954

Related Greatest Common Factor of 6954

Related Greatest Common Factor of 6962

Frequently Asked Questions on GCF of 6954 and 6962

1. What is the GCF of 6954 and 6962?

Answer: GCF of 6954 and 6962 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 6962?

Answer: Factors of 6962 are 1, 2, 59, 118, 3481, 6962. There are 6 integers that are factors of 6962. The greatest factor of 6962 is 6962.

4. How to Find the GCF of 6954 and 6962?

Answer:

Greatest Common Factor of 6954 and 6962 = 2

Step 1: Find the prime factorization of 6954

6954 = 2 x 3 x 19 x 61

Step 2: Find the prime factorization of 6962

6962 = 2 x 59 x 59

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 6962 is 2