Greatest Common Factor of 6694 and 6702

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 6694, 6702 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6694 and 6702 is 2.

GCF(6694,6702) = 2

GCF of 6694 and 6702

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

GCF of:
and

Greatest Common Factor of 6694 and 6702

GCF of 6694 and 6702 is 2

Prime Factorization of 6694


2 6694
3347 3347
1

Prime factors of 6694 are 2,3347. Prime factorization of 6694 in exponential form is:

6694 = 21×33471

Prime Factorization of 6702


2 6702
3 3351
1117 1117
1

Prime factors of 6702 are 2,3,1117. Prime factorization of 6702 in exponential form is:

6702 = 21×31×11171

∴ So by taking common prime factors GCF of 6694 and 6702 is 2

Greatest Common Factor of 6694 and 6702 by matching factors method

Factors of 6694

List of positive integer factors of 6694 that divides 6694 without a remainder.

1,2,3347,6694

Factors of 6702

List of positive integer factors of 6702 that divides 6702 without a remainder.

1,2,3,6,1117,2234,3351,6702

Greatest Common Factor

We found the factors and prime factorization of 6694 and 6702. The biggest common factor number is the GCF number.
So the greatest common factor 6694 and 6702 is 2.

Also check out the Least Common Multiple of 6694 and 6702

Properties of GCF 6694 and 6702

(i) The GCF of 6694 and 6702 is associative

GCF of 6694 and 6702 = GCF of 6702 and 6694

Related Greatest Common Factor of 6694

Related Greatest Common Factor of 6702

Frequently Asked Questions on GCF of 6694 and 6702

1. What is the GCF of 6694 and 6702?

Answer: GCF of 6694 and 6702 is 2.

2. What are the Factors of 6694?

Answer: Factors of 6694 are 1, 2, 3347, 6694. There are 4 integers that are factors of 6694. The greatest factor of 6694 is 6694.

3. What are the Factors of 6702?

Answer: Factors of 6702 are 1, 2, 3, 6, 1117, 2234, 3351, 6702. There are 8 integers that are factors of 6702. The greatest factor of 6702 is 6702.

4. How to Find the GCF of 6694 and 6702?

Answer:

Greatest Common Factor of 6694 and 6702 = 2

Step 1: Find the prime factorization of 6694

6694 = 2 x 3347

Step 2: Find the prime factorization of 6702

6702 = 2 x 3 x 1117

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6694 and 6702 is 2