Greatest Common Factor of 4760 and 4767

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, 4767 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4760 and 4767 is 7.

GCF(4760,4767) = 7

GCF of 4760 and 4767

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

GCF of:
and

Greatest Common Factor of 4760 and 4767

GCF of 4760 and 4767 is 7

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 4767


3 4767
7 1589
227 227
1

Prime factors of 4767 are 3,7,227. Prime factorization of 4767 in exponential form is:

4767 = 31×71×2271

∴ So by taking common prime factors GCF of 4760 and 4767 is 7

Greatest Common Factor of 4760 and 4767 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 4767

List of positive integer factors of 4767 that divides 4767 without a remainder.

1,3,7,21,227,681,1589,4767

Greatest Common Factor

We found the factors and prime factorization of 4760 and 4767. The biggest common factor number is the GCF number.
So the greatest common factor 4760 and 4767 is 7.

Also check out the Least Common Multiple of 4760 and 4767

Properties of GCF 4760 and 4767

(i) The GCF of 4760 and 4767 is associative

GCF of 4760 and 4767 = GCF of 4767 and 4760

Related Greatest Common Factor of 4760

Related Greatest Common Factor of 4767

Frequently Asked Questions on GCF of 4760 and 4767

1. What is the GCF of 4760 and 4767?

Answer: GCF of 4760 and 4767 is 7.

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 4767?

Answer: Factors of 4767 are 1, 3, 7, 21, 227, 681, 1589, 4767. There are 8 integers that are factors of 4767. The greatest factor of 4767 is 4767.

4. How to Find the GCF of 4760 and 4767?

Answer:

Greatest Common Factor of 4760 and 4767 = 7

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 4767

4767 = 3 x 7 x 227

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4760 and 4767 is 7