Greatest Common Factor of 4717 and 4721

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 4717, 4721 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4717 and 4721 is 1.

GCF(4717,4721) = 1

GCF of 4717 and 4721

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

GCF of:
and

Greatest Common Factor of 4717 and 4721

GCF of 4717 and 4721 is 1

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

Prime Factorization of 4721


4721 4721
1

Prime factors of 4721 are 4721. Prime factorization of 4721 in exponential form is:

4721 = 47211

∴ So by taking common prime factors GCF of 4717 and 4721 is 1

Greatest Common Factor of 4717 and 4721 by matching factors method

Factors of 4717

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

1,53,89,4717

Factors of 4721

List of positive integer factors of 4721 that divides 4721 without a remainder.

1,4721

Greatest Common Factor

We found the factors and prime factorization of 4717 and 4721. The biggest common factor number is the GCF number.
So the greatest common factor 4717 and 4721 is 1.

Also check out the Least Common Multiple of 4717 and 4721

Properties of GCF 4717 and 4721

(i) The GCF of 4717 and 4721 is associative

GCF of 4717 and 4721 = GCF of 4721 and 4717

Related Greatest Common Factor of 4717

Related Greatest Common Factor of 4721

Frequently Asked Questions on GCF of 4717 and 4721

1. What is the GCF of 4717 and 4721?

Answer: GCF of 4717 and 4721 is 1.

2. 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.

3. What are the Factors of 4721?

Answer: Factors of 4721 are 1, 4721. There are 2 integers that are factors of 4721. The greatest factor of 4721 is 4721.

4. How to Find the GCF of 4717 and 4721?

Answer:

Greatest Common Factor of 4717 and 4721 = 1

Step 1: Find the prime factorization of 4717

4717 = 53 x 89

Step 2: Find the prime factorization of 4721

4721 = 4721

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 4717 and 4721 is 1