Greatest Common Factor of 4749 and 4753

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 4749, 4753 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4749 and 4753 is 1.

GCF(4749,4753) = 1

GCF of 4749 and 4753

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

GCF of:
and

Greatest Common Factor of 4749 and 4753

GCF of 4749 and 4753 is 1

Prime Factorization of 4749


3 4749
1583 1583
1

Prime factors of 4749 are 3,1583. Prime factorization of 4749 in exponential form is:

4749 = 31×15831

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

∴ So by taking common prime factors GCF of 4749 and 4753 is 1

Greatest Common Factor of 4749 and 4753 by matching factors method

Factors of 4749

List of positive integer factors of 4749 that divides 4749 without a remainder.

1,3,1583,4749

Factors of 4753

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

1,7,49,97,679,4753

Greatest Common Factor

We found the factors and prime factorization of 4749 and 4753. The biggest common factor number is the GCF number.
So the greatest common factor 4749 and 4753 is 1.

Also check out the Least Common Multiple of 4749 and 4753

Properties of GCF 4749 and 4753

(i) The GCF of 4749 and 4753 is associative

GCF of 4749 and 4753 = GCF of 4753 and 4749

Related Greatest Common Factor of 4749

Related Greatest Common Factor of 4753

Frequently Asked Questions on GCF of 4749 and 4753

1. What is the GCF of 4749 and 4753?

Answer: GCF of 4749 and 4753 is 1.

2. What are the Factors of 4749?

Answer: Factors of 4749 are 1, 3, 1583, 4749. There are 4 integers that are factors of 4749. The greatest factor of 4749 is 4749.

3. 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.

4. How to Find the GCF of 4749 and 4753?

Answer:

Greatest Common Factor of 4749 and 4753 = 1

Step 1: Find the prime factorization of 4749

4749 = 3 x 1583

Step 2: Find the prime factorization of 4753

4753 = 7 x 7 x 97

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 4749 and 4753 is 1