Greatest Common Factor of 3030 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 3030, 3034 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3030 and 3034 is 2.

GCF(3030,3034) = 2

GCF of 3030 and 3034

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

GCF of:
and

Greatest Common Factor of 3030 and 3034

GCF of 3030 and 3034 is 2

Prime Factorization of 3030


2 3030
3 1515
5 505
101 101
1

Prime factors of 3030 are 2,3,5,101. Prime factorization of 3030 in exponential form is:

3030 = 21×31×51×1011

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 3030 and 3034 is 2

Greatest Common Factor of 3030 and 3034 by matching factors method

Factors of 3030

List of positive integer factors of 3030 that divides 3030 without a remainder.

1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030

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 3030 and 3034. The biggest common factor number is the GCF number.
So the greatest common factor 3030 and 3034 is 2.

Also check out the Least Common Multiple of 3030 and 3034

Properties of GCF 3030 and 3034

(i) The GCF of 3030 and 3034 is associative

GCF of 3030 and 3034 = GCF of 3034 and 3030

Related Greatest Common Factor of 3030

Related Greatest Common Factor of 3034

Frequently Asked Questions on GCF of 3030 and 3034

1. What is the GCF of 3030 and 3034?

Answer: GCF of 3030 and 3034 is 2.

2. What are the Factors of 3030?

Answer: Factors of 3030 are 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030. There are 16 integers that are factors of 3030. The greatest factor of 3030 is 3030.

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 3030 and 3034?

Answer:

Greatest Common Factor of 3030 and 3034 = 2

Step 1: Find the prime factorization of 3030

3030 = 2 x 3 x 5 x 101

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 = 2

Step 4: Therefore, the greatest common factor of 3030 and 3034 is 2