Greatest Common Factor of 4736 and 4739

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 4736, 4739 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4736 and 4739 is 1.

GCF(4736,4739) = 1

GCF of 4736 and 4739

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

GCF of:
and

Greatest Common Factor of 4736 and 4739

GCF of 4736 and 4739 is 1

Prime Factorization of 4736


2 4736
2 2368
2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 4736 are 2,37. Prime factorization of 4736 in exponential form is:

4736 = 27×371

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

∴ So by taking common prime factors GCF of 4736 and 4739 is 1

Greatest Common Factor of 4736 and 4739 by matching factors method

Factors of 4736

List of positive integer factors of 4736 that divides 4736 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736

Factors of 4739

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

1,7,677,4739

Greatest Common Factor

We found the factors and prime factorization of 4736 and 4739. The biggest common factor number is the GCF number.
So the greatest common factor 4736 and 4739 is 1.

Also check out the Least Common Multiple of 4736 and 4739

Properties of GCF 4736 and 4739

(i) The GCF of 4736 and 4739 is associative

GCF of 4736 and 4739 = GCF of 4739 and 4736

Related Greatest Common Factor of 4736

Related Greatest Common Factor of 4739

Frequently Asked Questions on GCF of 4736 and 4739

1. What is the GCF of 4736 and 4739?

Answer: GCF of 4736 and 4739 is 1.

2. What are the Factors of 4736?

Answer: Factors of 4736 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736. There are 16 integers that are factors of 4736. The greatest factor of 4736 is 4736.

3. 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.

4. How to Find the GCF of 4736 and 4739?

Answer:

Greatest Common Factor of 4736 and 4739 = 1

Step 1: Find the prime factorization of 4736

4736 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 4739

4739 = 7 x 677

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 4736 and 4739 is 1