Greatest Common Factor of 3830 and 3835

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 3830, 3835 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3830 and 3835 is 5.

GCF(3830,3835) = 5

GCF of 3830 and 3835

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

GCF of:
and

Greatest Common Factor of 3830 and 3835

GCF of 3830 and 3835 is 5

Prime Factorization of 3830


2 3830
5 1915
383 383
1

Prime factors of 3830 are 2,5,383. Prime factorization of 3830 in exponential form is:

3830 = 21×51×3831

Prime Factorization of 3835


5 3835
13 767
59 59
1

Prime factors of 3835 are 5,13,59. Prime factorization of 3835 in exponential form is:

3835 = 51×131×591

∴ So by taking common prime factors GCF of 3830 and 3835 is 5

Greatest Common Factor of 3830 and 3835 by matching factors method

Factors of 3830

List of positive integer factors of 3830 that divides 3830 without a remainder.

1,2,5,10,383,766,1915,3830

Factors of 3835

List of positive integer factors of 3835 that divides 3835 without a remainder.

1,5,13,59,65,295,767,3835

Greatest Common Factor

We found the factors and prime factorization of 3830 and 3835. The biggest common factor number is the GCF number.
So the greatest common factor 3830 and 3835 is 5.

Also check out the Least Common Multiple of 3830 and 3835

Properties of GCF 3830 and 3835

(i) The GCF of 3830 and 3835 is associative

GCF of 3830 and 3835 = GCF of 3835 and 3830

Related Greatest Common Factor of 3830

Related Greatest Common Factor of 3835

Frequently Asked Questions on GCF of 3830 and 3835

1. What is the GCF of 3830 and 3835?

Answer: GCF of 3830 and 3835 is 5.

2. What are the Factors of 3830?

Answer: Factors of 3830 are 1, 2, 5, 10, 383, 766, 1915, 3830. There are 8 integers that are factors of 3830. The greatest factor of 3830 is 3830.

3. What are the Factors of 3835?

Answer: Factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835. There are 8 integers that are factors of 3835. The greatest factor of 3835 is 3835.

4. How to Find the GCF of 3830 and 3835?

Answer:

Greatest Common Factor of 3830 and 3835 = 5

Step 1: Find the prime factorization of 3830

3830 = 2 x 5 x 383

Step 2: Find the prime factorization of 3835

3835 = 5 x 13 x 59

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 3830 and 3835 is 5