Greatest Common Factor of 6668 and 6672

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 6668, 6672 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6668 and 6672 is 4.

GCF(6668,6672) = 4

GCF of 6668 and 6672

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

GCF of:
and

Greatest Common Factor of 6668 and 6672

GCF of 6668 and 6672 is 4

Prime Factorization of 6668


2 6668
2 3334
1667 1667
1

Prime factors of 6668 are 2,1667. Prime factorization of 6668 in exponential form is:

6668 = 22×16671

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

∴ So by taking common prime factors GCF of 6668 and 6672 is 4

Greatest Common Factor of 6668 and 6672 by matching factors method

Factors of 6668

List of positive integer factors of 6668 that divides 6668 without a remainder.

1,2,4,1667,3334,6668

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

Greatest Common Factor

We found the factors and prime factorization of 6668 and 6672. The biggest common factor number is the GCF number.
So the greatest common factor 6668 and 6672 is 4.

Also check out the Least Common Multiple of 6668 and 6672

Properties of GCF 6668 and 6672

(i) The GCF of 6668 and 6672 is associative

GCF of 6668 and 6672 = GCF of 6672 and 6668

Related Greatest Common Factor of 6668

Related Greatest Common Factor of 6672

Frequently Asked Questions on GCF of 6668 and 6672

1. What is the GCF of 6668 and 6672?

Answer: GCF of 6668 and 6672 is 4.

2. What are the Factors of 6668?

Answer: Factors of 6668 are 1, 2, 4, 1667, 3334, 6668. There are 6 integers that are factors of 6668. The greatest factor of 6668 is 6668.

3. 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.

4. How to Find the GCF of 6668 and 6672?

Answer:

Greatest Common Factor of 6668 and 6672 = 4

Step 1: Find the prime factorization of 6668

6668 = 2 x 2 x 1667

Step 2: Find the prime factorization of 6672

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

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 6668 and 6672 is 4