Greatest Common Factor of 4753 and 4755

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, 4755 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4753 and 4755 is 1.

GCF(4753,4755) = 1

GCF of 4753 and 4755

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

GCF of:
and

Greatest Common Factor of 4753 and 4755

GCF of 4753 and 4755 is 1

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 4755


3 4755
5 1585
317 317
1

Prime factors of 4755 are 3,5,317. Prime factorization of 4755 in exponential form is:

4755 = 31×51×3171

∴ So by taking common prime factors GCF of 4753 and 4755 is 1

Greatest Common Factor of 4753 and 4755 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 4755

List of positive integer factors of 4755 that divides 4755 without a remainder.

1,3,5,15,317,951,1585,4755

Greatest Common Factor

We found the factors and prime factorization of 4753 and 4755. The biggest common factor number is the GCF number.
So the greatest common factor 4753 and 4755 is 1.

Also check out the Least Common Multiple of 4753 and 4755

Properties of GCF 4753 and 4755

(i) The GCF of 4753 and 4755 is associative

GCF of 4753 and 4755 = GCF of 4755 and 4753

Related Greatest Common Factor of 4753

Related Greatest Common Factor of 4755

Frequently Asked Questions on GCF of 4753 and 4755

1. What is the GCF of 4753 and 4755?

Answer: GCF of 4753 and 4755 is 1.

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 4755?

Answer: Factors of 4755 are 1, 3, 5, 15, 317, 951, 1585, 4755. There are 8 integers that are factors of 4755. The greatest factor of 4755 is 4755.

4. How to Find the GCF of 4753 and 4755?

Answer:

Greatest Common Factor of 4753 and 4755 = 1

Step 1: Find the prime factorization of 4753

4753 = 7 x 7 x 97

Step 2: Find the prime factorization of 4755

4755 = 3 x 5 x 317

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 4753 and 4755 is 1