Greatest Common Factor of 5717 and 5723

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

• Greatest Common Factor of 5717 and 5723 by prime factorization method
• Greatest Common Factor of 5717 and 5723 by matching factors method

Prime Factorization of 5717

Prime factors of 5717 are 5717. Prime factorization of 5717 in exponential form is:

5717 = 5717¹

Prime Factorization of 5723

Prime factors of 5723 are 59.Prime factorization of 5723 in exponential form is:

5723 = 59¹×97¹

∴ So by taking common prime factors GCF of 5717 and 5723 is 1

Factors of 5717

List of positive integer factors of 5717 that divides 5717 without a remainder.

1,5717

Factors of 5723

List of positive integer factors of 5723 that divides 5723 without a remainder.

1,59,97,5723

Greatest Common Factor

We found the factors and prime factorization of 5717 and 5723. The biggest common factor number is the GCF number.
So the greatest common factor 5717 and 5723 is 1.

Also check out the Least Common Multiple of 5717 and 5723

(i) The GCF of 5717 and 5723 is associative

GCF of 5717 and 5723 = GCF of 5723 and 5717

1. What is the GCF of 5717 and 5723?

Answer: GCF of 5717 and 5723 is 1.

2. What are the Factors of 5717?

Answer: Factors of 5717 are 1, 5717. There are 2 integers that are factors of 5717. The greatest factor of 5717 is 5717.

3. What are the Factors of 5723?

Answer: Factors of 5723 are 1, 59, 97, 5723. There are 4 integers that are factors of 5723. The greatest factor of 5723 is 5723.

4. How to Find the GCF of 5717 and 5723?

Answer:

Greatest Common Factor of 5717 and 5723 = 1

Step 1: Find the prime factorization of 5717

5717 = 5717

Step 2: Find the prime factorization of 5723

5723 = 59 x 97

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 5717 and 5723 is 1