Greatest Common Factor of 4730 and 4736

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 4730, 4736 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4730 and 4736 is 2.

GCF(4730,4736) = 2

GCF of 4730 and 4736

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

GCF of:
and

Greatest Common Factor of 4730 and 4736

GCF of 4730 and 4736 is 2

Prime Factorization of 4730


2 4730
5 2365
11 473
43 43
1

Prime factors of 4730 are 2,5,11,43. Prime factorization of 4730 in exponential form is:

4730 = 21×51×111×431

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

∴ So by taking common prime factors GCF of 4730 and 4736 is 2

Greatest Common Factor of 4730 and 4736 by matching factors method

Factors of 4730

List of positive integer factors of 4730 that divides 4730 without a remainder.

1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730

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

Greatest Common Factor

We found the factors and prime factorization of 4730 and 4736. The biggest common factor number is the GCF number.
So the greatest common factor 4730 and 4736 is 2.

Also check out the Least Common Multiple of 4730 and 4736

Properties of GCF 4730 and 4736

(i) The GCF of 4730 and 4736 is associative

GCF of 4730 and 4736 = GCF of 4736 and 4730

Related Greatest Common Factor of 4730

Related Greatest Common Factor of 4736

Frequently Asked Questions on GCF of 4730 and 4736

1. What is the GCF of 4730 and 4736?

Answer: GCF of 4730 and 4736 is 2.

2. What are the Factors of 4730?

Answer: Factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730. There are 16 integers that are factors of 4730. The greatest factor of 4730 is 4730.

3. 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.

4. How to Find the GCF of 4730 and 4736?

Answer:

Greatest Common Factor of 4730 and 4736 = 2

Step 1: Find the prime factorization of 4730

4730 = 2 x 5 x 11 x 43

Step 2: Find the prime factorization of 4736

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

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4730 and 4736 is 2