Greatest Common Factor of 4830 and 4837

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 4830, 4837 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4830 and 4837 is 7.

GCF(4830,4837) = 7

GCF of 4830 and 4837

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

GCF of:
and

Greatest Common Factor of 4830 and 4837

GCF of 4830 and 4837 is 7

Prime Factorization of 4830


2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 4830 are 2,3,5,7,23. Prime factorization of 4830 in exponential form is:

4830 = 21×31×51×71×231

Prime Factorization of 4837


7 4837
691 691
1

Prime factors of 4837 are 7,691. Prime factorization of 4837 in exponential form is:

4837 = 71×6911

∴ So by taking common prime factors GCF of 4830 and 4837 is 7

Greatest Common Factor of 4830 and 4837 by matching factors method

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830

Factors of 4837

List of positive integer factors of 4837 that divides 4837 without a remainder.

1,7,691,4837

Greatest Common Factor

We found the factors and prime factorization of 4830 and 4837. The biggest common factor number is the GCF number.
So the greatest common factor 4830 and 4837 is 7.

Also check out the Least Common Multiple of 4830 and 4837

Properties of GCF 4830 and 4837

(i) The GCF of 4830 and 4837 is associative

GCF of 4830 and 4837 = GCF of 4837 and 4830

Related Greatest Common Factor of 4830

Related Greatest Common Factor of 4837

Frequently Asked Questions on GCF of 4830 and 4837

1. What is the GCF of 4830 and 4837?

Answer: GCF of 4830 and 4837 is 7.

2. What are the Factors of 4830?

Answer: Factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830. There are 32 integers that are factors of 4830. The greatest factor of 4830 is 4830.

3. What are the Factors of 4837?

Answer: Factors of 4837 are 1, 7, 691, 4837. There are 4 integers that are factors of 4837. The greatest factor of 4837 is 4837.

4. How to Find the GCF of 4830 and 4837?

Answer:

Greatest Common Factor of 4830 and 4837 = 7

Step 1: Find the prime factorization of 4830

4830 = 2 x 3 x 5 x 7 x 23

Step 2: Find the prime factorization of 4837

4837 = 7 x 691

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 4830 and 4837 is 7