Greatest Common Factor of 6042 and 6050

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 6042, 6050 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6042 and 6050 is 2.

GCF(6042,6050) = 2

GCF of 6042 and 6050

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

GCF of:
and

Greatest Common Factor of 6042 and 6050

GCF of 6042 and 6050 is 2

Prime Factorization of 6042


2 6042
3 3021
19 1007
53 53
1

Prime factors of 6042 are 2,3,19,53. Prime factorization of 6042 in exponential form is:

6042 = 21×31×191×531

Prime Factorization of 6050


2 6050
5 3025
5 605
11 121
11 11
1

Prime factors of 6050 are 2,5,11. Prime factorization of 6050 in exponential form is:

6050 = 21×52×112

∴ So by taking common prime factors GCF of 6042 and 6050 is 2

Greatest Common Factor of 6042 and 6050 by matching factors method

Factors of 6042

List of positive integer factors of 6042 that divides 6042 without a remainder.

1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042

Factors of 6050

List of positive integer factors of 6050 that divides 6050 without a remainder.

1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050

Greatest Common Factor

We found the factors and prime factorization of 6042 and 6050. The biggest common factor number is the GCF number.
So the greatest common factor 6042 and 6050 is 2.

Also check out the Least Common Multiple of 6042 and 6050

Properties of GCF 6042 and 6050

(i) The GCF of 6042 and 6050 is associative

GCF of 6042 and 6050 = GCF of 6050 and 6042

Related Greatest Common Factor of 6042

Related Greatest Common Factor of 6050

Frequently Asked Questions on GCF of 6042 and 6050

1. What is the GCF of 6042 and 6050?

Answer: GCF of 6042 and 6050 is 2.

2. What are the Factors of 6042?

Answer: Factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042. There are 16 integers that are factors of 6042. The greatest factor of 6042 is 6042.

3. What are the Factors of 6050?

Answer: Factors of 6050 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025, 6050. There are 18 integers that are factors of 6050. The greatest factor of 6050 is 6050.

4. How to Find the GCF of 6042 and 6050?

Answer:

Greatest Common Factor of 6042 and 6050 = 2

Step 1: Find the prime factorization of 6042

6042 = 2 x 3 x 19 x 53

Step 2: Find the prime factorization of 6050

6050 = 2 x 5 x 5 x 11 x 11

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 6042 and 6050 is 2