Greatest Common Factor of 3054 and 3058

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 3054, 3058 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3054 and 3058 is 2.

GCF(3054,3058) = 2

GCF of 3054 and 3058

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

GCF of:
and

Greatest Common Factor of 3054 and 3058

GCF of 3054 and 3058 is 2

Prime Factorization of 3054


2 3054
3 1527
509 509
1

Prime factors of 3054 are 2,3,509. Prime factorization of 3054 in exponential form is:

3054 = 21×31×5091

Prime Factorization of 3058


2 3058
11 1529
139 139
1

Prime factors of 3058 are 2,11,139. Prime factorization of 3058 in exponential form is:

3058 = 21×111×1391

∴ So by taking common prime factors GCF of 3054 and 3058 is 2

Greatest Common Factor of 3054 and 3058 by matching factors method

Factors of 3054

List of positive integer factors of 3054 that divides 3054 without a remainder.

1,2,3,6,509,1018,1527,3054

Factors of 3058

List of positive integer factors of 3058 that divides 3058 without a remainder.

1,2,11,22,139,278,1529,3058

Greatest Common Factor

We found the factors and prime factorization of 3054 and 3058. The biggest common factor number is the GCF number.
So the greatest common factor 3054 and 3058 is 2.

Also check out the Least Common Multiple of 3054 and 3058

Properties of GCF 3054 and 3058

(i) The GCF of 3054 and 3058 is associative

GCF of 3054 and 3058 = GCF of 3058 and 3054

Related Greatest Common Factor of 3054

Related Greatest Common Factor of 3058

Frequently Asked Questions on GCF of 3054 and 3058

1. What is the GCF of 3054 and 3058?

Answer: GCF of 3054 and 3058 is 2.

2. What are the Factors of 3054?

Answer: Factors of 3054 are 1, 2, 3, 6, 509, 1018, 1527, 3054. There are 8 integers that are factors of 3054. The greatest factor of 3054 is 3054.

3. What are the Factors of 3058?

Answer: Factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058. There are 8 integers that are factors of 3058. The greatest factor of 3058 is 3058.

4. How to Find the GCF of 3054 and 3058?

Answer:

Greatest Common Factor of 3054 and 3058 = 2

Step 1: Find the prime factorization of 3054

3054 = 2 x 3 x 509

Step 2: Find the prime factorization of 3058

3058 = 2 x 11 x 139

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 3054 and 3058 is 2