Greatest Common Factor of 4704 and 4709

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, 4709 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4704 and 4709 is 1.

GCF(4704,4709) = 1

GCF of 4704 and 4709

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

GCF of:
and

Greatest Common Factor of 4704 and 4709

GCF of 4704 and 4709 is 1

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 4709


17 4709
277 277
1

Prime factors of 4709 are 17,277. Prime factorization of 4709 in exponential form is:

4709 = 171×2771

∴ So by taking common prime factors GCF of 4704 and 4709 is 1

Greatest Common Factor of 4704 and 4709 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 4709

List of positive integer factors of 4709 that divides 4709 without a remainder.

1,17,277,4709

Greatest Common Factor

We found the factors and prime factorization of 4704 and 4709. The biggest common factor number is the GCF number.
So the greatest common factor 4704 and 4709 is 1.

Also check out the Least Common Multiple of 4704 and 4709

Properties of GCF 4704 and 4709

(i) The GCF of 4704 and 4709 is associative

GCF of 4704 and 4709 = GCF of 4709 and 4704

Related Greatest Common Factor of 4704

Related Greatest Common Factor of 4709

Frequently Asked Questions on GCF of 4704 and 4709

1. What is the GCF of 4704 and 4709?

Answer: GCF of 4704 and 4709 is 1.

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 4709?

Answer: Factors of 4709 are 1, 17, 277, 4709. There are 4 integers that are factors of 4709. The greatest factor of 4709 is 4709.

4. How to Find the GCF of 4704 and 4709?

Answer:

Greatest Common Factor of 4704 and 4709 = 1

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 4709

4709 = 17 x 277

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 4704 and 4709 is 1