Greatest Common Factor of 4736 and 4740

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, 4740 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4736 and 4740 is 4.

GCF(4736,4740) = 4

GCF of 4736 and 4740

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

GCF of:
and

Greatest Common Factor of 4736 and 4740

GCF of 4736 and 4740 is 4

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 4740


2 4740
2 2370
3 1185
5 395
79 79
1

Prime factors of 4740 are 2,3,5,79. Prime factorization of 4740 in exponential form is:

4740 = 22×31×51×791

∴ So by taking common prime factors GCF of 4736 and 4740 is 4

Greatest Common Factor of 4736 and 4740 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 4740

List of positive integer factors of 4740 that divides 4740 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,79,158,237,316,395,474,790,948,1185,1580,2370,4740

Greatest Common Factor

We found the factors and prime factorization of 4736 and 4740. The biggest common factor number is the GCF number.
So the greatest common factor 4736 and 4740 is 4.

Also check out the Least Common Multiple of 4736 and 4740

Properties of GCF 4736 and 4740

(i) The GCF of 4736 and 4740 is associative

GCF of 4736 and 4740 = GCF of 4740 and 4736

Related Greatest Common Factor of 4736

Related Greatest Common Factor of 4740

Frequently Asked Questions on GCF of 4736 and 4740

1. What is the GCF of 4736 and 4740?

Answer: GCF of 4736 and 4740 is 4.

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 4740?

Answer: Factors of 4740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316, 395, 474, 790, 948, 1185, 1580, 2370, 4740. There are 24 integers that are factors of 4740. The greatest factor of 4740 is 4740.

4. How to Find the GCF of 4736 and 4740?

Answer:

Greatest Common Factor of 4736 and 4740 = 4

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 4740

4740 = 2 x 2 x 3 x 5 x 79

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4736 and 4740 is 4