Greatest Common Factor of 4746 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 4746, 4753 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4746 and 4753 is 7.

GCF(4746,4753) = 7

GCF of 4746 and 4753

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

GCF of:
and

Greatest Common Factor of 4746 and 4753

GCF of 4746 and 4753 is 7

Prime Factorization of 4746


2 4746
3 2373
7 791
113 113
1

Prime factors of 4746 are 2,3,7,113. Prime factorization of 4746 in exponential form is:

4746 = 21×31×71×1131

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 4746 and 4753 is 7

Greatest Common Factor of 4746 and 4753 by matching factors method

Factors of 4746

List of positive integer factors of 4746 that divides 4746 without a remainder.

1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746

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 4746 and 4753. The biggest common factor number is the GCF number.
So the greatest common factor 4746 and 4753 is 7.

Also check out the Least Common Multiple of 4746 and 4753

Properties of GCF 4746 and 4753

(i) The GCF of 4746 and 4753 is associative

GCF of 4746 and 4753 = GCF of 4753 and 4746

Related Greatest Common Factor of 4746

Related Greatest Common Factor of 4753

Frequently Asked Questions on GCF of 4746 and 4753

1. What is the GCF of 4746 and 4753?

Answer: GCF of 4746 and 4753 is 7.

2. What are the Factors of 4746?

Answer: Factors of 4746 are 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746. There are 16 integers that are factors of 4746. The greatest factor of 4746 is 4746.

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 4746 and 4753?

Answer:

Greatest Common Factor of 4746 and 4753 = 7

Step 1: Find the prime factorization of 4746

4746 = 2 x 3 x 7 x 113

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 = 7

Step 4: Therefore, the greatest common factor of 4746 and 4753 is 7