Greatest Common Factor of 3850 and 3852

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 3850, 3852 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3850 and 3852 is 2.

GCF(3850,3852) = 2

GCF of 3850 and 3852

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

GCF of:
and

Greatest Common Factor of 3850 and 3852

GCF of 3850 and 3852 is 2

Prime Factorization of 3850


2 3850
5 1925
5 385
7 77
11 11
1

Prime factors of 3850 are 2,5,7,11. Prime factorization of 3850 in exponential form is:

3850 = 21×52×71×111

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

∴ So by taking common prime factors GCF of 3850 and 3852 is 2

Greatest Common Factor of 3850 and 3852 by matching factors method

Factors of 3850

List of positive integer factors of 3850 that divides 3850 without a remainder.

1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850

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

Greatest Common Factor

We found the factors and prime factorization of 3850 and 3852. The biggest common factor number is the GCF number.
So the greatest common factor 3850 and 3852 is 2.

Also check out the Least Common Multiple of 3850 and 3852

Properties of GCF 3850 and 3852

(i) The GCF of 3850 and 3852 is associative

GCF of 3850 and 3852 = GCF of 3852 and 3850

Related Greatest Common Factor of 3850

Related Greatest Common Factor of 3852

Frequently Asked Questions on GCF of 3850 and 3852

1. What is the GCF of 3850 and 3852?

Answer: GCF of 3850 and 3852 is 2.

2. What are the Factors of 3850?

Answer: Factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850. There are 24 integers that are factors of 3850. The greatest factor of 3850 is 3850.

3. 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.

4. How to Find the GCF of 3850 and 3852?

Answer:

Greatest Common Factor of 3850 and 3852 = 2

Step 1: Find the prime factorization of 3850

3850 = 2 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 3852

3852 = 2 x 2 x 3 x 3 x 107

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3850 and 3852 is 2