Greatest Common Factor of 3054 and 3062

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, 3062 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3054 and 3062 is 2.

GCF(3054,3062) = 2

GCF of 3054 and 3062

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

GCF of:
and

Greatest Common Factor of 3054 and 3062

GCF of 3054 and 3062 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 3062


2 3062
1531 1531
1

Prime factors of 3062 are 2,1531. Prime factorization of 3062 in exponential form is:

3062 = 21×15311

∴ So by taking common prime factors GCF of 3054 and 3062 is 2

Greatest Common Factor of 3054 and 3062 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 3062

List of positive integer factors of 3062 that divides 3062 without a remainder.

1,2,1531,3062

Greatest Common Factor

We found the factors and prime factorization of 3054 and 3062. The biggest common factor number is the GCF number.
So the greatest common factor 3054 and 3062 is 2.

Also check out the Least Common Multiple of 3054 and 3062

Properties of GCF 3054 and 3062

(i) The GCF of 3054 and 3062 is associative

GCF of 3054 and 3062 = GCF of 3062 and 3054

Related Greatest Common Factor of 3054

Related Greatest Common Factor of 3062

Frequently Asked Questions on GCF of 3054 and 3062

1. What is the GCF of 3054 and 3062?

Answer: GCF of 3054 and 3062 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 3062?

Answer: Factors of 3062 are 1, 2, 1531, 3062. There are 4 integers that are factors of 3062. The greatest factor of 3062 is 3062.

4. How to Find the GCF of 3054 and 3062?

Answer:

Greatest Common Factor of 3054 and 3062 = 2

Step 1: Find the prime factorization of 3054

3054 = 2 x 3 x 509

Step 2: Find the prime factorization of 3062

3062 = 2 x 1531

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 3062 is 2