Greatest Common Factor of 6956 and 6960

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 6956, 6960 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6956 and 6960 is 4.

GCF(6956,6960) = 4

GCF of 6956 and 6960

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

GCF of:
and

Greatest Common Factor of 6956 and 6960

GCF of 6956 and 6960 is 4

Prime Factorization of 6956


2 6956
2 3478
37 1739
47 47
1

Prime factors of 6956 are 2,37,47. Prime factorization of 6956 in exponential form is:

6956 = 22×371×471

Prime Factorization of 6960


2 6960
2 3480
2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 6960 are 2,3,5,29. Prime factorization of 6960 in exponential form is:

6960 = 24×31×51×291

∴ So by taking common prime factors GCF of 6956 and 6960 is 4

Greatest Common Factor of 6956 and 6960 by matching factors method

Factors of 6956

List of positive integer factors of 6956 that divides 6956 without a remainder.

1,2,4,37,47,74,94,148,188,1739,3478,6956

Factors of 6960

List of positive integer factors of 6960 that divides 6960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960

Greatest Common Factor

We found the factors and prime factorization of 6956 and 6960. The biggest common factor number is the GCF number.
So the greatest common factor 6956 and 6960 is 4.

Also check out the Least Common Multiple of 6956 and 6960

Properties of GCF 6956 and 6960

(i) The GCF of 6956 and 6960 is associative

GCF of 6956 and 6960 = GCF of 6960 and 6956

Related Greatest Common Factor of 6956

Related Greatest Common Factor of 6960

Frequently Asked Questions on GCF of 6956 and 6960

1. What is the GCF of 6956 and 6960?

Answer: GCF of 6956 and 6960 is 4.

2. What are the Factors of 6956?

Answer: Factors of 6956 are 1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956. There are 12 integers that are factors of 6956. The greatest factor of 6956 is 6956.

3. What are the Factors of 6960?

Answer: Factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960. There are 40 integers that are factors of 6960. The greatest factor of 6960 is 6960.

4. How to Find the GCF of 6956 and 6960?

Answer:

Greatest Common Factor of 6956 and 6960 = 4

Step 1: Find the prime factorization of 6956

6956 = 2 x 2 x 37 x 47

Step 2: Find the prime factorization of 6960

6960 = 2 x 2 x 2 x 2 x 3 x 5 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6956 and 6960 is 4