Greatest Common Factor of 4700 and 4704

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 4700, 4704 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4700 and 4704 is 4.

GCF(4700,4704) = 4

GCF of 4700 and 4704

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

GCF of:
and

Greatest Common Factor of 4700 and 4704

GCF of 4700 and 4704 is 4

Prime Factorization of 4700


2 4700
2 2350
5 1175
5 235
47 47
1

Prime factors of 4700 are 2,5,47. Prime factorization of 4700 in exponential form is:

4700 = 22×52×471

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

∴ So by taking common prime factors GCF of 4700 and 4704 is 4

Greatest Common Factor of 4700 and 4704 by matching factors method

Factors of 4700

List of positive integer factors of 4700 that divides 4700 without a remainder.

1,2,4,5,10,20,25,47,50,94,100,188,235,470,940,1175,2350,4700

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

Greatest Common Factor

We found the factors and prime factorization of 4700 and 4704. The biggest common factor number is the GCF number.
So the greatest common factor 4700 and 4704 is 4.

Also check out the Least Common Multiple of 4700 and 4704

Properties of GCF 4700 and 4704

(i) The GCF of 4700 and 4704 is associative

GCF of 4700 and 4704 = GCF of 4704 and 4700

Related Greatest Common Factor of 4700

Related Greatest Common Factor of 4704

Frequently Asked Questions on GCF of 4700 and 4704

1. What is the GCF of 4700 and 4704?

Answer: GCF of 4700 and 4704 is 4.

2. What are the Factors of 4700?

Answer: Factors of 4700 are 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700. There are 18 integers that are factors of 4700. The greatest factor of 4700 is 4700.

3. 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.

4. How to Find the GCF of 4700 and 4704?

Answer:

Greatest Common Factor of 4700 and 4704 = 4

Step 1: Find the prime factorization of 4700

4700 = 2 x 2 x 5 x 5 x 47

Step 2: Find the prime factorization of 4704

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4700 and 4704 is 4