Greatest Common Factor of 5717 and 5725

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 5717, 5725 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5717 and 5725 is 1.

GCF(5717,5725) = 1

GCF of 5717 and 5725

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

GCF of:
and

Greatest Common Factor of 5717 and 5725

GCF of 5717 and 5725 is 1

Prime Factorization of 5717


5717 5717
1

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

5717 = 57171

Prime Factorization of 5725


5 5725
5 1145
229 229
1

Prime factors of 5725 are 5.Prime factorization of 5725 in exponential form is:

5725 = 52×2291

∴ So by taking common prime factors GCF of 5717 and 5725 is 1

Greatest Common Factor of 5717 and 5725 by matching factors method

Factors of 5717

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

1,5717

Factors of 5725

List of positive integer factors of 5725 that divides 5725 without a remainder.

1,5,25,229,1145,5725

Greatest Common Factor

We found the factors and prime factorization of 5717 and 5725. The biggest common factor number is the GCF number.
So the greatest common factor 5717 and 5725 is 1.

Also check out the Least Common Multiple of 5717 and 5725

Properties of GCF 5717 and 5725

(i) The GCF of 5717 and 5725 is associative

GCF of 5717 and 5725 = GCF of 5725 and 5717

Related Greatest Common Factor of 5717

Related Greatest Common Factor of 5725

Frequently Asked Questions on GCF of 5717 and 5725

1. What is the GCF of 5717 and 5725?

Answer: GCF of 5717 and 5725 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 5725?

Answer: Factors of 5725 are 1, 5, 25, 229, 1145, 5725. There are 6 integers that are factors of 5725. The greatest factor of 5725 is 5725.

4. How to Find the GCF of 5717 and 5725?

Answer:

Greatest Common Factor of 5717 and 5725 = 1

Step 1: Find the prime factorization of 5717

5717 = 5717

Step 2: Find the prime factorization of 5725

5725 = 5 x 5 x 229

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 5725 is 1