Greatest Common Factor of 4707 and 4713

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 4707, 4713 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4707 and 4713 is 3.

GCF(4707,4713) = 3

GCF of 4707 and 4713

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

GCF of:
and

Greatest Common Factor of 4707 and 4713

GCF of 4707 and 4713 is 3

Prime Factorization of 4707


3 4707
3 1569
523 523
1

Prime factors of 4707 are 3,523. Prime factorization of 4707 in exponential form is:

4707 = 32×5231

Prime Factorization of 4713


3 4713
1571 1571
1

Prime factors of 4713 are 3,1571. Prime factorization of 4713 in exponential form is:

4713 = 31×15711

∴ So by taking common prime factors GCF of 4707 and 4713 is 3

Greatest Common Factor of 4707 and 4713 by matching factors method

Factors of 4707

List of positive integer factors of 4707 that divides 4707 without a remainder.

1,3,9,523,1569,4707

Factors of 4713

List of positive integer factors of 4713 that divides 4713 without a remainder.

1,3,1571,4713

Greatest Common Factor

We found the factors and prime factorization of 4707 and 4713. The biggest common factor number is the GCF number.
So the greatest common factor 4707 and 4713 is 3.

Also check out the Least Common Multiple of 4707 and 4713

Properties of GCF 4707 and 4713

(i) The GCF of 4707 and 4713 is associative

GCF of 4707 and 4713 = GCF of 4713 and 4707

Related Greatest Common Factor of 4707

Related Greatest Common Factor of 4713

Frequently Asked Questions on GCF of 4707 and 4713

1. What is the GCF of 4707 and 4713?

Answer: GCF of 4707 and 4713 is 3.

2. What are the Factors of 4707?

Answer: Factors of 4707 are 1, 3, 9, 523, 1569, 4707. There are 6 integers that are factors of 4707. The greatest factor of 4707 is 4707.

3. What are the Factors of 4713?

Answer: Factors of 4713 are 1, 3, 1571, 4713. There are 4 integers that are factors of 4713. The greatest factor of 4713 is 4713.

4. How to Find the GCF of 4707 and 4713?

Answer:

Greatest Common Factor of 4707 and 4713 = 3

Step 1: Find the prime factorization of 4707

4707 = 3 x 3 x 523

Step 2: Find the prime factorization of 4713

4713 = 3 x 1571

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 4707 and 4713 is 3