Greatest Common Factor of 6700 and 6705

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, 6705 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6700 and 6705 is 5.

GCF(6700,6705) = 5

GCF of 6700 and 6705

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

GCF of:
and

Greatest Common Factor of 6700 and 6705

GCF of 6700 and 6705 is 5

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 6705


3 6705
3 2235
5 745
149 149
1

Prime factors of 6705 are 3,5,149. Prime factorization of 6705 in exponential form is:

6705 = 32×51×1491

∴ So by taking common prime factors GCF of 6700 and 6705 is 5

Greatest Common Factor of 6700 and 6705 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 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1,3,5,9,15,45,149,447,745,1341,2235,6705

Greatest Common Factor

We found the factors and prime factorization of 6700 and 6705. The biggest common factor number is the GCF number.
So the greatest common factor 6700 and 6705 is 5.

Also check out the Least Common Multiple of 6700 and 6705

Properties of GCF 6700 and 6705

(i) The GCF of 6700 and 6705 is associative

GCF of 6700 and 6705 = GCF of 6705 and 6700

Related Greatest Common Factor of 6700

Related Greatest Common Factor of 6705

Frequently Asked Questions on GCF of 6700 and 6705

1. What is the GCF of 6700 and 6705?

Answer: GCF of 6700 and 6705 is 5.

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 6705?

Answer: Factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705. There are 12 integers that are factors of 6705. The greatest factor of 6705 is 6705.

4. How to Find the GCF of 6700 and 6705?

Answer:

Greatest Common Factor of 6700 and 6705 = 5

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 6705

6705 = 3 x 3 x 5 x 149

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6700 and 6705 is 5