Greatest Common Factor of 4830 and 4835

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, 4835 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4830 and 4835 is 5.

GCF(4830,4835) = 5

GCF of 4830 and 4835

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

GCF of:
and

Greatest Common Factor of 4830 and 4835

GCF of 4830 and 4835 is 5

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 4835


5 4835
967 967
1

Prime factors of 4835 are 5,967. Prime factorization of 4835 in exponential form is:

4835 = 51×9671

∴ So by taking common prime factors GCF of 4830 and 4835 is 5

Greatest Common Factor of 4830 and 4835 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 4835

List of positive integer factors of 4835 that divides 4835 without a remainder.

1,5,967,4835

Greatest Common Factor

We found the factors and prime factorization of 4830 and 4835. The biggest common factor number is the GCF number.
So the greatest common factor 4830 and 4835 is 5.

Also check out the Least Common Multiple of 4830 and 4835

Properties of GCF 4830 and 4835

(i) The GCF of 4830 and 4835 is associative

GCF of 4830 and 4835 = GCF of 4835 and 4830

Related Greatest Common Factor of 4830

Related Greatest Common Factor of 4835

Frequently Asked Questions on GCF of 4830 and 4835

1. What is the GCF of 4830 and 4835?

Answer: GCF of 4830 and 4835 is 5.

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 4835?

Answer: Factors of 4835 are 1, 5, 967, 4835. There are 4 integers that are factors of 4835. The greatest factor of 4835 is 4835.

4. How to Find the GCF of 4830 and 4835?

Answer:

Greatest Common Factor of 4830 and 4835 = 5

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 4835

4835 = 5 x 967

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4830 and 4835 is 5