Greatest Common Factor of 6700 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 6700, 6702 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6700 and 6702 is 2.

GCF(6700,6702) = 2

GCF of 6700 and 6702

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

GCF of:
and

Greatest Common Factor of 6700 and 6702

GCF of 6700 and 6702 is 2

Prime Factorization of 6700


2 6700
2 3350
5 1675
5 335
67 67
1

Prime factors of 6700 are 2,5,67. Prime factorization of 6700 in exponential form is:

6700 = 22×52×671

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 6700 and 6702 is 2

Greatest Common Factor of 6700 and 6702 by matching factors method

Factors of 6700

List of positive integer factors of 6700 that divides 6700 without a remainder.

1,2,4,5,10,20,25,50,67,100,134,268,335,670,1340,1675,3350,6700

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 6700 and 6702. The biggest common factor number is the GCF number.
So the greatest common factor 6700 and 6702 is 2.

Also check out the Least Common Multiple of 6700 and 6702

Properties of GCF 6700 and 6702

(i) The GCF of 6700 and 6702 is associative

GCF of 6700 and 6702 = GCF of 6702 and 6700

Related Greatest Common Factor of 6700

Related Greatest Common Factor of 6702

Frequently Asked Questions on GCF of 6700 and 6702

1. What is the GCF of 6700 and 6702?

Answer: GCF of 6700 and 6702 is 2.

2. What are the Factors of 6700?

Answer: Factors of 6700 are 1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350, 6700. There are 18 integers that are factors of 6700. The greatest factor of 6700 is 6700.

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 6700 and 6702?

Answer:

Greatest Common Factor of 6700 and 6702 = 2

Step 1: Find the prime factorization of 6700

6700 = 2 x 2 x 5 x 5 x 67

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 6700 and 6702 is 2