Greatest Common Factor of 6054 and 6058

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 6054, 6058 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6054 and 6058 is 2.

GCF(6054,6058) = 2

GCF of 6054 and 6058

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

GCF of:
and

Greatest Common Factor of 6054 and 6058

GCF of 6054 and 6058 is 2

Prime Factorization of 6054


2 6054
3 3027
1009 1009
1

Prime factors of 6054 are 2,3,1009. Prime factorization of 6054 in exponential form is:

6054 = 21×31×10091

Prime Factorization of 6058


2 6058
13 3029
233 233
1

Prime factors of 6058 are 2,13,233. Prime factorization of 6058 in exponential form is:

6058 = 21×131×2331

∴ So by taking common prime factors GCF of 6054 and 6058 is 2

Greatest Common Factor of 6054 and 6058 by matching factors method

Factors of 6054

List of positive integer factors of 6054 that divides 6054 without a remainder.

1,2,3,6,1009,2018,3027,6054

Factors of 6058

List of positive integer factors of 6058 that divides 6058 without a remainder.

1,2,13,26,233,466,3029,6058

Greatest Common Factor

We found the factors and prime factorization of 6054 and 6058. The biggest common factor number is the GCF number.
So the greatest common factor 6054 and 6058 is 2.

Also check out the Least Common Multiple of 6054 and 6058

Properties of GCF 6054 and 6058

(i) The GCF of 6054 and 6058 is associative

GCF of 6054 and 6058 = GCF of 6058 and 6054

Related Greatest Common Factor of 6054

Related Greatest Common Factor of 6058

Frequently Asked Questions on GCF of 6054 and 6058

1. What is the GCF of 6054 and 6058?

Answer: GCF of 6054 and 6058 is 2.

2. What are the Factors of 6054?

Answer: Factors of 6054 are 1, 2, 3, 6, 1009, 2018, 3027, 6054. There are 8 integers that are factors of 6054. The greatest factor of 6054 is 6054.

3. What are the Factors of 6058?

Answer: Factors of 6058 are 1, 2, 13, 26, 233, 466, 3029, 6058. There are 8 integers that are factors of 6058. The greatest factor of 6058 is 6058.

4. How to Find the GCF of 6054 and 6058?

Answer:

Greatest Common Factor of 6054 and 6058 = 2

Step 1: Find the prime factorization of 6054

6054 = 2 x 3 x 1009

Step 2: Find the prime factorization of 6058

6058 = 2 x 13 x 233

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 6054 and 6058 is 2