Greatest Common Factor of 6664 and 6671

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 6664, 6671 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6664 and 6671 is 7.

GCF(6664,6671) = 7

GCF of 6664 and 6671

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

GCF of:
and

Greatest Common Factor of 6664 and 6671

GCF of 6664 and 6671 is 7

Prime Factorization of 6664


2 6664
2 3332
2 1666
7 833
7 119
17 17
1

Prime factors of 6664 are 2,7,17. Prime factorization of 6664 in exponential form is:

6664 = 23×72×171

Prime Factorization of 6671


7 6671
953 953
1

Prime factors of 6671 are 7,953. Prime factorization of 6671 in exponential form is:

6671 = 71×9531

∴ So by taking common prime factors GCF of 6664 and 6671 is 7

Greatest Common Factor of 6664 and 6671 by matching factors method

Factors of 6664

List of positive integer factors of 6664 that divides 6664 without a remainder.

1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664

Factors of 6671

List of positive integer factors of 6671 that divides 6671 without a remainder.

1,7,953,6671

Greatest Common Factor

We found the factors and prime factorization of 6664 and 6671. The biggest common factor number is the GCF number.
So the greatest common factor 6664 and 6671 is 7.

Also check out the Least Common Multiple of 6664 and 6671

Properties of GCF 6664 and 6671

(i) The GCF of 6664 and 6671 is associative

GCF of 6664 and 6671 = GCF of 6671 and 6664

Related Greatest Common Factor of 6664

Related Greatest Common Factor of 6671

Frequently Asked Questions on GCF of 6664 and 6671

1. What is the GCF of 6664 and 6671?

Answer: GCF of 6664 and 6671 is 7.

2. What are the Factors of 6664?

Answer: Factors of 6664 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 49, 56, 68, 98, 119, 136, 196, 238, 392, 476, 833, 952, 1666, 3332, 6664. There are 24 integers that are factors of 6664. The greatest factor of 6664 is 6664.

3. What are the Factors of 6671?

Answer: Factors of 6671 are 1, 7, 953, 6671. There are 4 integers that are factors of 6671. The greatest factor of 6671 is 6671.

4. How to Find the GCF of 6664 and 6671?

Answer:

Greatest Common Factor of 6664 and 6671 = 7

Step 1: Find the prime factorization of 6664

6664 = 2 x 2 x 2 x 7 x 7 x 17

Step 2: Find the prime factorization of 6671

6671 = 7 x 953

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6664 and 6671 is 7