Greatest Common Factor of 4704 and 4708

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, 4708 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4704 and 4708 is 4.

GCF(4704,4708) = 4

GCF of 4704 and 4708

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

GCF of:
and

Greatest Common Factor of 4704 and 4708

GCF of 4704 and 4708 is 4

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 4708


2 4708
2 2354
11 1177
107 107
1

Prime factors of 4708 are 2,11,107. Prime factorization of 4708 in exponential form is:

4708 = 22×111×1071

∴ So by taking common prime factors GCF of 4704 and 4708 is 4

Greatest Common Factor of 4704 and 4708 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 4708

List of positive integer factors of 4708 that divides 4708 without a remainder.

1,2,4,11,22,44,107,214,428,1177,2354,4708

Greatest Common Factor

We found the factors and prime factorization of 4704 and 4708. The biggest common factor number is the GCF number.
So the greatest common factor 4704 and 4708 is 4.

Also check out the Least Common Multiple of 4704 and 4708

Properties of GCF 4704 and 4708

(i) The GCF of 4704 and 4708 is associative

GCF of 4704 and 4708 = GCF of 4708 and 4704

Related Greatest Common Factor of 4704

Related Greatest Common Factor of 4708

Frequently Asked Questions on GCF of 4704 and 4708

1. What is the GCF of 4704 and 4708?

Answer: GCF of 4704 and 4708 is 4.

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 4708?

Answer: Factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708. There are 12 integers that are factors of 4708. The greatest factor of 4708 is 4708.

4. How to Find the GCF of 4704 and 4708?

Answer:

Greatest Common Factor of 4704 and 4708 = 4

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 4708

4708 = 2 x 2 x 11 x 107

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 4704 and 4708 is 4