Greatest Common Factor of 4704 and 4707

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 4704, 4707 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4704 and 4707 is 3.

GCF(4704,4707) = 3

GCF of 4704 and 4707

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

GCF of:
and

Greatest Common Factor of 4704 and 4707

GCF of 4704 and 4707 is 3

Prime Factorization of 4704


2 4704
2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 4704 are 2,3,7. Prime factorization of 4704 in exponential form is:

4704 = 25×31×72

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

∴ So by taking common prime factors GCF of 4704 and 4707 is 3

Greatest Common Factor of 4704 and 4707 by matching factors method

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704

Factors of 4707

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

1,3,9,523,1569,4707

Greatest Common Factor

We found the factors and prime factorization of 4704 and 4707. The biggest common factor number is the GCF number.
So the greatest common factor 4704 and 4707 is 3.

Also check out the Least Common Multiple of 4704 and 4707

Properties of GCF 4704 and 4707

(i) The GCF of 4704 and 4707 is associative

GCF of 4704 and 4707 = GCF of 4707 and 4704

Related Greatest Common Factor of 4704

Related Greatest Common Factor of 4707

Frequently Asked Questions on GCF of 4704 and 4707

1. What is the GCF of 4704 and 4707?

Answer: GCF of 4704 and 4707 is 3.

2. What are the Factors of 4704?

Answer: Factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704. There are 36 integers that are factors of 4704. The greatest factor of 4704 is 4704.

3. 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.

4. How to Find the GCF of 4704 and 4707?

Answer:

Greatest Common Factor of 4704 and 4707 = 3

Step 1: Find the prime factorization of 4704

4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 4707

4707 = 3 x 3 x 523

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 4704 and 4707 is 3