Greatest Common Factor of 4753 and 4760

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 4753, 4760 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4753 and 4760 is 7.

GCF(4753,4760) = 7

GCF of 4753 and 4760

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

GCF of:
and

Greatest Common Factor of 4753 and 4760

GCF of 4753 and 4760 is 7

Prime Factorization of 4753


7 4753
7 679
97 97
1

Prime factors of 4753 are 7,97. Prime factorization of 4753 in exponential form is:

4753 = 72×971

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

∴ So by taking common prime factors GCF of 4753 and 4760 is 7

Greatest Common Factor of 4753 and 4760 by matching factors method

Factors of 4753

List of positive integer factors of 4753 that divides 4753 without a remainder.

1,7,49,97,679,4753

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

Greatest Common Factor

We found the factors and prime factorization of 4753 and 4760. The biggest common factor number is the GCF number.
So the greatest common factor 4753 and 4760 is 7.

Also check out the Least Common Multiple of 4753 and 4760

Properties of GCF 4753 and 4760

(i) The GCF of 4753 and 4760 is associative

GCF of 4753 and 4760 = GCF of 4760 and 4753

Related Greatest Common Factor of 4753

Related Greatest Common Factor of 4760

Frequently Asked Questions on GCF of 4753 and 4760

1. What is the GCF of 4753 and 4760?

Answer: GCF of 4753 and 4760 is 7.

2. What are the Factors of 4753?

Answer: Factors of 4753 are 1, 7, 49, 97, 679, 4753. There are 6 integers that are factors of 4753. The greatest factor of 4753 is 4753.

3. 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.

4. How to Find the GCF of 4753 and 4760?

Answer:

Greatest Common Factor of 4753 and 4760 = 7

Step 1: Find the prime factorization of 4753

4753 = 7 x 7 x 97

Step 2: Find the prime factorization of 4760

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

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 4753 and 4760 is 7