Greatest Common Factor of 1723 and 1729

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

• Greatest Common Factor of 1723 and 1729 by prime factorization method
• Greatest Common Factor of 1723 and 1729 by matching factors method

Prime Factorization of 1723

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

1723 = 1723¹

Prime Factorization of 1729

Prime factors of 1729 are 7.Prime factorization of 1729 in exponential form is:

1729 = 7¹×13¹×19¹

∴ So by taking common prime factors GCF of 1723 and 1729 is 1

Factors of 1723

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

1,1723

Factors of 1729

List of positive integer factors of 1729 that divides 1729 without a remainder.

1,7,13,19,91,133,247,1729

Greatest Common Factor

We found the factors and prime factorization of 1723 and 1729. The biggest common factor number is the GCF number.
So the greatest common factor 1723 and 1729 is 1.

Also check out the Least Common Multiple of 1723 and 1729

(i) The GCF of 1723 and 1729 is associative

GCF of 1723 and 1729 = GCF of 1729 and 1723

1. What is the GCF of 1723 and 1729?

Answer: GCF of 1723 and 1729 is 1.

2. 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.

3. What are the Factors of 1729?

Answer: Factors of 1729 are 1, 7, 13, 19, 91, 133, 247, 1729. There are 8 integers that are factors of 1729. The greatest factor of 1729 is 1729.

4. How to Find the GCF of 1723 and 1729?

Answer:

Greatest Common Factor of 1723 and 1729 = 1

Step 1: Find the prime factorization of 1723

1723 = 1723

Step 2: Find the prime factorization of 1729

1729 = 7 x 13 x 19

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 1723 and 1729 is 1