Greatest Common Factor of 4709 and 4717

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 4709, 4717 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4709 and 4717 is 1.

GCF(4709,4717) = 1

GCF of 4709 and 4717

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

GCF of:
and

Greatest Common Factor of 4709 and 4717

GCF of 4709 and 4717 is 1

Prime Factorization of 4709


17 4709
277 277
1

Prime factors of 4709 are 17,277. Prime factorization of 4709 in exponential form is:

4709 = 171×2771

Prime Factorization of 4717


53 4717
89 89
1

Prime factors of 4717 are 53,89. Prime factorization of 4717 in exponential form is:

4717 = 531×891

∴ So by taking common prime factors GCF of 4709 and 4717 is 1

Greatest Common Factor of 4709 and 4717 by matching factors method

Factors of 4709

List of positive integer factors of 4709 that divides 4709 without a remainder.

1,17,277,4709

Factors of 4717

List of positive integer factors of 4717 that divides 4717 without a remainder.

1,53,89,4717

Greatest Common Factor

We found the factors and prime factorization of 4709 and 4717. The biggest common factor number is the GCF number.
So the greatest common factor 4709 and 4717 is 1.

Also check out the Least Common Multiple of 4709 and 4717

Properties of GCF 4709 and 4717

(i) The GCF of 4709 and 4717 is associative

GCF of 4709 and 4717 = GCF of 4717 and 4709

Related Greatest Common Factor of 4709

Related Greatest Common Factor of 4717

Frequently Asked Questions on GCF of 4709 and 4717

1. What is the GCF of 4709 and 4717?

Answer: GCF of 4709 and 4717 is 1.

2. What are the Factors of 4709?

Answer: Factors of 4709 are 1, 17, 277, 4709. There are 4 integers that are factors of 4709. The greatest factor of 4709 is 4709.

3. What are the Factors of 4717?

Answer: Factors of 4717 are 1, 53, 89, 4717. There are 4 integers that are factors of 4717. The greatest factor of 4717 is 4717.

4. How to Find the GCF of 4709 and 4717?

Answer:

Greatest Common Factor of 4709 and 4717 = 1

Step 1: Find the prime factorization of 4709

4709 = 17 x 277

Step 2: Find the prime factorization of 4717

4717 = 53 x 89

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 4709 and 4717 is 1