Greatest Common Factor of 6988 and 6996

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 6988, 6996 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6988 and 6996 is 4.

GCF(6988,6996) = 4

GCF of 6988 and 6996

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

GCF of:
and

Greatest Common Factor of 6988 and 6996

GCF of 6988 and 6996 is 4

Prime Factorization of 6988


2 6988
2 3494
1747 1747
1

Prime factors of 6988 are 2,1747. Prime factorization of 6988 in exponential form is:

6988 = 22×17471

Prime Factorization of 6996


2 6996
2 3498
3 1749
11 583
53 53
1

Prime factors of 6996 are 2,3,11,53. Prime factorization of 6996 in exponential form is:

6996 = 22×31×111×531

∴ So by taking common prime factors GCF of 6988 and 6996 is 4

Greatest Common Factor of 6988 and 6996 by matching factors method

Factors of 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1,2,4,1747,3494,6988

Factors of 6996

List of positive integer factors of 6996 that divides 6996 without a remainder.

1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996

Greatest Common Factor

We found the factors and prime factorization of 6988 and 6996. The biggest common factor number is the GCF number.
So the greatest common factor 6988 and 6996 is 4.

Also check out the Least Common Multiple of 6988 and 6996

Properties of GCF 6988 and 6996

(i) The GCF of 6988 and 6996 is associative

GCF of 6988 and 6996 = GCF of 6996 and 6988

Related Greatest Common Factor of 6988

Related Greatest Common Factor of 6996

Frequently Asked Questions on GCF of 6988 and 6996

1. What is the GCF of 6988 and 6996?

Answer: GCF of 6988 and 6996 is 4.

2. What are the Factors of 6988?

Answer: Factors of 6988 are 1, 2, 4, 1747, 3494, 6988. There are 6 integers that are factors of 6988. The greatest factor of 6988 is 6988.

3. What are the Factors of 6996?

Answer: Factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996. There are 24 integers that are factors of 6996. The greatest factor of 6996 is 6996.

4. How to Find the GCF of 6988 and 6996?

Answer:

Greatest Common Factor of 6988 and 6996 = 4

Step 1: Find the prime factorization of 6988

6988 = 2 x 2 x 1747

Step 2: Find the prime factorization of 6996

6996 = 2 x 2 x 3 x 11 x 53

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 6988 and 6996 is 4