Greatest Common Factor of 1704 and 1708

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 1704, 1708 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1704 and 1708 is 4.

GCF(1704,1708) = 4

GCF of 1704 and 1708

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

GCF of:
and

Greatest Common Factor of 1704 and 1708

GCF of 1704 and 1708 is 4

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

Prime Factorization of 1708


2 1708
2 854
7 427
61 61
1

Prime factors of 1708 are 2,7,61. Prime factorization of 1708 in exponential form is:

1708 = 22×71×611

∴ So by taking common prime factors GCF of 1704 and 1708 is 4

Greatest Common Factor of 1704 and 1708 by matching factors method

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

Factors of 1708

List of positive integer factors of 1708 that divides 1708 without a remainder.

1,2,4,7,14,28,61,122,244,427,854,1708

Greatest Common Factor

We found the factors and prime factorization of 1704 and 1708. The biggest common factor number is the GCF number.
So the greatest common factor 1704 and 1708 is 4.

Also check out the Least Common Multiple of 1704 and 1708

Properties of GCF 1704 and 1708

(i) The GCF of 1704 and 1708 is associative

GCF of 1704 and 1708 = GCF of 1708 and 1704

Related Greatest Common Factor of 1704

Related Greatest Common Factor of 1708

Frequently Asked Questions on GCF of 1704 and 1708

1. What is the GCF of 1704 and 1708?

Answer: GCF of 1704 and 1708 is 4.

2. 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.

3. What are the Factors of 1708?

Answer: Factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708. There are 12 integers that are factors of 1708. The greatest factor of 1708 is 1708.

4. How to Find the GCF of 1704 and 1708?

Answer:

Greatest Common Factor of 1704 and 1708 = 4

Step 1: Find the prime factorization of 1704

1704 = 2 x 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 1708

1708 = 2 x 2 x 7 x 61

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 1704 and 1708 is 4