Greatest Common Factor of 1705 and 1712

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 1705, 1712 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1705 and 1712 is 1.

GCF(1705,1712) = 1

GCF of 1705 and 1712

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

GCF of:
and

Greatest Common Factor of 1705 and 1712

GCF of 1705 and 1712 is 1

Prime Factorization of 1705


5 1705
11 341
31 31
1

Prime factors of 1705 are 5,11,31. Prime factorization of 1705 in exponential form is:

1705 = 51×111×311

Prime Factorization of 1712


2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 1712 are 2,107. Prime factorization of 1712 in exponential form is:

1712 = 24×1071

∴ So by taking common prime factors GCF of 1705 and 1712 is 1

Greatest Common Factor of 1705 and 1712 by matching factors method

Factors of 1705

List of positive integer factors of 1705 that divides 1705 without a remainder.

1,5,11,31,55,155,341,1705

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1,2,4,8,16,107,214,428,856,1712

Greatest Common Factor

We found the factors and prime factorization of 1705 and 1712. The biggest common factor number is the GCF number.
So the greatest common factor 1705 and 1712 is 1.

Also check out the Least Common Multiple of 1705 and 1712

Properties of GCF 1705 and 1712

(i) The GCF of 1705 and 1712 is associative

GCF of 1705 and 1712 = GCF of 1712 and 1705

Related Greatest Common Factor of 1705

Related Greatest Common Factor of 1712

Frequently Asked Questions on GCF of 1705 and 1712

1. What is the GCF of 1705 and 1712?

Answer: GCF of 1705 and 1712 is 1.

2. What are the Factors of 1705?

Answer: Factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705. There are 8 integers that are factors of 1705. The greatest factor of 1705 is 1705.

3. What are the Factors of 1712?

Answer: Factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712. There are 10 integers that are factors of 1712. The greatest factor of 1712 is 1712.

4. How to Find the GCF of 1705 and 1712?

Answer:

Greatest Common Factor of 1705 and 1712 = 1

Step 1: Find the prime factorization of 1705

1705 = 5 x 11 x 31

Step 2: Find the prime factorization of 1712

1712 = 2 x 2 x 2 x 2 x 107

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1705 and 1712 is 1