Greatest Common Factor of 1712 and 1717

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 1712, 1717 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1712 and 1717 is 1.

GCF(1712,1717) = 1

GCF of 1712 and 1717

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

GCF of:
and

Greatest Common Factor of 1712 and 1717

GCF of 1712 and 1717 is 1

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

Prime Factorization of 1717


17 1717
101 101
1

Prime factors of 1717 are 17,101. Prime factorization of 1717 in exponential form is:

1717 = 171×1011

∴ So by taking common prime factors GCF of 1712 and 1717 is 1

Greatest Common Factor of 1712 and 1717 by matching factors method

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

Factors of 1717

List of positive integer factors of 1717 that divides 1717 without a remainder.

1,17,101,1717

Greatest Common Factor

We found the factors and prime factorization of 1712 and 1717. The biggest common factor number is the GCF number.
So the greatest common factor 1712 and 1717 is 1.

Also check out the Least Common Multiple of 1712 and 1717

Properties of GCF 1712 and 1717

(i) The GCF of 1712 and 1717 is associative

GCF of 1712 and 1717 = GCF of 1717 and 1712

Related Greatest Common Factor of 1712

Related Greatest Common Factor of 1717

Frequently Asked Questions on GCF of 1712 and 1717

1. What is the GCF of 1712 and 1717?

Answer: GCF of 1712 and 1717 is 1.

2. 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.

3. What are the Factors of 1717?

Answer: Factors of 1717 are 1, 17, 101, 1717. There are 4 integers that are factors of 1717. The greatest factor of 1717 is 1717.

4. How to Find the GCF of 1712 and 1717?

Answer:

Greatest Common Factor of 1712 and 1717 = 1

Step 1: Find the prime factorization of 1712

1712 = 2 x 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 1717

1717 = 17 x 101

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 1712 and 1717 is 1