Greatest Common Factor of 4760 and 4768

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 4760, 4768 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4760 and 4768 is 8.

GCF(4760,4768) = 8

GCF of 4760 and 4768

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

GCF of:
and

Greatest Common Factor of 4760 and 4768

GCF of 4760 and 4768 is 8

Prime Factorization of 4760


2 4760
2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 4760 are 2,5,7,17. Prime factorization of 4760 in exponential form is:

4760 = 23×51×71×171

Prime Factorization of 4768


2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 4768 are 2,149. Prime factorization of 4768 in exponential form is:

4768 = 25×1491

∴ So by taking common prime factors GCF of 4760 and 4768 is 8

Greatest Common Factor of 4760 and 4768 by matching factors method

Factors of 4760

List of positive integer factors of 4760 that divides 4760 without a remainder.

1,2,4,5,7,8,10,14,17,20,28,34,35,40,56,68,70,85,119,136,140,170,238,280,340,476,595,680,952,1190,2380,4760

Factors of 4768

List of positive integer factors of 4768 that divides 4768 without a remainder.

1,2,4,8,16,32,149,298,596,1192,2384,4768

Greatest Common Factor

We found the factors and prime factorization of 4760 and 4768. The biggest common factor number is the GCF number.
So the greatest common factor 4760 and 4768 is 8.

Also check out the Least Common Multiple of 4760 and 4768

Properties of GCF 4760 and 4768

(i) The GCF of 4760 and 4768 is associative

GCF of 4760 and 4768 = GCF of 4768 and 4760

Related Greatest Common Factor of 4760

Related Greatest Common Factor of 4768

Frequently Asked Questions on GCF of 4760 and 4768

1. What is the GCF of 4760 and 4768?

Answer: GCF of 4760 and 4768 is 8.

2. What are the Factors of 4760?

Answer: Factors of 4760 are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760. There are 32 integers that are factors of 4760. The greatest factor of 4760 is 4760.

3. What are the Factors of 4768?

Answer: Factors of 4768 are 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768. There are 12 integers that are factors of 4768. The greatest factor of 4768 is 4768.

4. How to Find the GCF of 4760 and 4768?

Answer:

Greatest Common Factor of 4760 and 4768 = 8

Step 1: Find the prime factorization of 4760

4760 = 2 x 2 x 2 x 5 x 7 x 17

Step 2: Find the prime factorization of 4768

4768 = 2 x 2 x 2 x 2 x 2 x 149

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4760 and 4768 is 8