Greatest Common Factor of 3027 and 3034

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 3027, 3034 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3027 and 3034 is 1.

GCF(3027,3034) = 1

GCF of 3027 and 3034

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

GCF of:
and

Greatest Common Factor of 3027 and 3034

GCF of 3027 and 3034 is 1

Prime Factorization of 3027


3 3027
1009 1009
1

Prime factors of 3027 are 3,1009. Prime factorization of 3027 in exponential form is:

3027 = 31×10091

Prime Factorization of 3034


2 3034
37 1517
41 41
1

Prime factors of 3034 are 2,37,41. Prime factorization of 3034 in exponential form is:

3034 = 21×371×411

∴ So by taking common prime factors GCF of 3027 and 3034 is 1

Greatest Common Factor of 3027 and 3034 by matching factors method

Factors of 3027

List of positive integer factors of 3027 that divides 3027 without a remainder.

1,3,1009,3027

Factors of 3034

List of positive integer factors of 3034 that divides 3034 without a remainder.

1,2,37,41,74,82,1517,3034

Greatest Common Factor

We found the factors and prime factorization of 3027 and 3034. The biggest common factor number is the GCF number.
So the greatest common factor 3027 and 3034 is 1.

Also check out the Least Common Multiple of 3027 and 3034

Properties of GCF 3027 and 3034

(i) The GCF of 3027 and 3034 is associative

GCF of 3027 and 3034 = GCF of 3034 and 3027

Related Greatest Common Factor of 3027

Related Greatest Common Factor of 3034

Frequently Asked Questions on GCF of 3027 and 3034

1. What is the GCF of 3027 and 3034?

Answer: GCF of 3027 and 3034 is 1.

2. What are the Factors of 3027?

Answer: Factors of 3027 are 1, 3, 1009, 3027. There are 4 integers that are factors of 3027. The greatest factor of 3027 is 3027.

3. What are the Factors of 3034?

Answer: Factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034. There are 8 integers that are factors of 3034. The greatest factor of 3034 is 3034.

4. How to Find the GCF of 3027 and 3034?

Answer:

Greatest Common Factor of 3027 and 3034 = 1

Step 1: Find the prime factorization of 3027

3027 = 3 x 1009

Step 2: Find the prime factorization of 3034

3034 = 2 x 37 x 41

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3027 and 3034 is 1