Greatest Common Factor of 4739 and 4746

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 4739, 4746 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4739 and 4746 is 7.

GCF(4739,4746) = 7

GCF of 4739 and 4746

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

GCF of:
and

Greatest Common Factor of 4739 and 4746

GCF of 4739 and 4746 is 7

Prime Factorization of 4739


7 4739
677 677
1

Prime factors of 4739 are 7,677. Prime factorization of 4739 in exponential form is:

4739 = 71×6771

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

∴ So by taking common prime factors GCF of 4739 and 4746 is 7

Greatest Common Factor of 4739 and 4746 by matching factors method

Factors of 4739

List of positive integer factors of 4739 that divides 4739 without a remainder.

1,7,677,4739

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

Greatest Common Factor

We found the factors and prime factorization of 4739 and 4746. The biggest common factor number is the GCF number.
So the greatest common factor 4739 and 4746 is 7.

Also check out the Least Common Multiple of 4739 and 4746

Properties of GCF 4739 and 4746

(i) The GCF of 4739 and 4746 is associative

GCF of 4739 and 4746 = GCF of 4746 and 4739

Related Greatest Common Factor of 4739

Related Greatest Common Factor of 4746

Frequently Asked Questions on GCF of 4739 and 4746

1. What is the GCF of 4739 and 4746?

Answer: GCF of 4739 and 4746 is 7.

2. What are the Factors of 4739?

Answer: Factors of 4739 are 1, 7, 677, 4739. There are 4 integers that are factors of 4739. The greatest factor of 4739 is 4739.

3. 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.

4. How to Find the GCF of 4739 and 4746?

Answer:

Greatest Common Factor of 4739 and 4746 = 7

Step 1: Find the prime factorization of 4739

4739 = 7 x 677

Step 2: Find the prime factorization of 4746

4746 = 2 x 3 x 7 x 113

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 4739 and 4746 is 7