Greatest Common Factor of 1700 and 1704

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 1700, 1704 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1700 and 1704 is 4.

GCF(1700,1704) = 4

GCF of 1700 and 1704

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

GCF of:
and

Greatest Common Factor of 1700 and 1704

GCF of 1700 and 1704 is 4

Prime Factorization of 1700


2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 1700 are 2,5,17. Prime factorization of 1700 in exponential form is:

1700 = 22×52×171

Prime Factorization of 1704


2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 1704 are 2,3,71. Prime factorization of 1704 in exponential form is:

1704 = 23×31×711

∴ So by taking common prime factors GCF of 1700 and 1704 is 4

Greatest Common Factor of 1700 and 1704 by matching factors method

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Factors of 1704

List of positive integer factors of 1704 that divides 1704 without a remainder.

1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704

Greatest Common Factor

We found the factors and prime factorization of 1700 and 1704. The biggest common factor number is the GCF number.
So the greatest common factor 1700 and 1704 is 4.

Also check out the Least Common Multiple of 1700 and 1704

Properties of GCF 1700 and 1704

(i) The GCF of 1700 and 1704 is associative

GCF of 1700 and 1704 = GCF of 1704 and 1700

Related Greatest Common Factor of 1700

Related Greatest Common Factor of 1704

Frequently Asked Questions on GCF of 1700 and 1704

1. What is the GCF of 1700 and 1704?

Answer: GCF of 1700 and 1704 is 4.

2. What are the Factors of 1700?

Answer: Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. There are 18 integers that are factors of 1700. The greatest factor of 1700 is 1700.

3. What are the Factors of 1704?

Answer: Factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704. There are 16 integers that are factors of 1704. The greatest factor of 1704 is 1704.

4. How to Find the GCF of 1700 and 1704?

Answer:

Greatest Common Factor of 1700 and 1704 = 4

Step 1: Find the prime factorization of 1700

1700 = 2 x 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 1704

1704 = 2 x 2 x 2 x 3 x 71

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 1700 and 1704 is 4