Greatest Common Factor of 3852 and 3859

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 3852, 3859 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3852 and 3859 is 1.

GCF(3852,3859) = 1

GCF of 3852 and 3859

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

GCF of:
and

Greatest Common Factor of 3852 and 3859

GCF of 3852 and 3859 is 1

Prime Factorization of 3852


2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 3852 are 2,3,107. Prime factorization of 3852 in exponential form is:

3852 = 22×32×1071

Prime Factorization of 3859


17 3859
227 227
1

Prime factors of 3859 are 17,227. Prime factorization of 3859 in exponential form is:

3859 = 171×2271

∴ So by taking common prime factors GCF of 3852 and 3859 is 1

Greatest Common Factor of 3852 and 3859 by matching factors method

Factors of 3852

List of positive integer factors of 3852 that divides 3852 without a remainder.

1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852

Factors of 3859

List of positive integer factors of 3859 that divides 3859 without a remainder.

1,17,227,3859

Greatest Common Factor

We found the factors and prime factorization of 3852 and 3859. The biggest common factor number is the GCF number.
So the greatest common factor 3852 and 3859 is 1.

Also check out the Least Common Multiple of 3852 and 3859

Properties of GCF 3852 and 3859

(i) The GCF of 3852 and 3859 is associative

GCF of 3852 and 3859 = GCF of 3859 and 3852

Frequently Asked Questions on GCF of 3852 and 3859

1. What is the GCF of 3852 and 3859?

Answer: GCF of 3852 and 3859 is 1.

2. What are the Factors of 3852?

Answer: Factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852. There are 18 integers that are factors of 3852. The greatest factor of 3852 is 3852.

3. What are the Factors of 3859?

Answer: Factors of 3859 are 1, 17, 227, 3859. There are 4 integers that are factors of 3859. The greatest factor of 3859 is 3859.

4. How to Find the GCF of 3852 and 3859?

Answer:

Greatest Common Factor of 3852 and 3859 = 1

Step 1: Find the prime factorization of 3852

3852 = 2 x 2 x 3 x 3 x 107

Step 2: Find the prime factorization of 3859

3859 = 17 x 227

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3852 and 3859 is 1