Greatest Common Factor of 6672 and 6678

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 6672, 6678 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6672 and 6678 is 6.

GCF(6672,6678) = 6

GCF of 6672 and 6678

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

GCF of:
and

Greatest Common Factor of 6672 and 6678

GCF of 6672 and 6678 is 6

Prime Factorization of 6672


2 6672
2 3336
2 1668
2 834
3 417
139 139
1

Prime factors of 6672 are 2,3,139. Prime factorization of 6672 in exponential form is:

6672 = 24×31×1391

Prime Factorization of 6678


2 6678
3 3339
3 1113
7 371
53 53
1

Prime factors of 6678 are 2,3,7,53. Prime factorization of 6678 in exponential form is:

6678 = 21×32×71×531

∴ So by taking common prime factors GCF of 6672 and 6678 is 6

Greatest Common Factor of 6672 and 6678 by matching factors method

Factors of 6672

List of positive integer factors of 6672 that divides 6672 without a remainder.

1,2,3,4,6,8,12,16,24,48,139,278,417,556,834,1112,1668,2224,3336,6672

Factors of 6678

List of positive integer factors of 6678 that divides 6678 without a remainder.

1,2,3,6,7,9,14,18,21,42,53,63,106,126,159,318,371,477,742,954,1113,2226,3339,6678

Greatest Common Factor

We found the factors and prime factorization of 6672 and 6678. The biggest common factor number is the GCF number.
So the greatest common factor 6672 and 6678 is 6.

Also check out the Least Common Multiple of 6672 and 6678

Properties of GCF 6672 and 6678

(i) The GCF of 6672 and 6678 is associative

GCF of 6672 and 6678 = GCF of 6678 and 6672

Related Greatest Common Factor of 6672

Related Greatest Common Factor of 6678

Frequently Asked Questions on GCF of 6672 and 6678

1. What is the GCF of 6672 and 6678?

Answer: GCF of 6672 and 6678 is 6.

2. What are the Factors of 6672?

Answer: Factors of 6672 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 6672. There are 20 integers that are factors of 6672. The greatest factor of 6672 is 6672.

3. What are the Factors of 6678?

Answer: Factors of 6678 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678. There are 24 integers that are factors of 6678. The greatest factor of 6678 is 6678.

4. How to Find the GCF of 6672 and 6678?

Answer:

Greatest Common Factor of 6672 and 6678 = 6

Step 1: Find the prime factorization of 6672

6672 = 2 x 2 x 2 x 2 x 3 x 139

Step 2: Find the prime factorization of 6678

6678 = 2 x 3 x 3 x 7 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 3 = 6

Step 4: Therefore, the greatest common factor of 6672 and 6678 is 6