Greatest Common Factor of 1717 and 1723

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

• Greatest Common Factor of 1717 and 1723 by prime factorization method
• Greatest Common Factor of 1717 and 1723 by matching factors method

Prime Factorization of 1717

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

1717 = 17¹×101¹

Prime Factorization of 1723

Prime factors of 1723 are 1723. Prime factorization of 1723 in exponential form is:

1723 = 1723¹

∴ So by taking common prime factors GCF of 1717 and 1723 is 1

Factors of 1717

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

1,17,101,1717

Factors of 1723

List of positive integer factors of 1723 that divides 1723 without a remainder.

1,1723

Greatest Common Factor

We found the factors and prime factorization of 1717 and 1723. The biggest common factor number is the GCF number.
So the greatest common factor 1717 and 1723 is 1.

Also check out the Least Common Multiple of 1717 and 1723

(i) The GCF of 1717 and 1723 is associative

GCF of 1717 and 1723 = GCF of 1723 and 1717

1. What is the GCF of 1717 and 1723?

Answer: GCF of 1717 and 1723 is 1.

2. 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.

3. What are the Factors of 1723?

Answer: Factors of 1723 are 1, 1723. There are 2 integers that are factors of 1723. The greatest factor of 1723 is 1723.

4. How to Find the GCF of 1717 and 1723?

Answer:

Greatest Common Factor of 1717 and 1723 = 1

Step 1: Find the prime factorization of 1717

1717 = 17 x 101

Step 2: Find the prime factorization of 1723

1723 = 1723

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 1717 and 1723 is 1