Greatest Common Factor of 3025 and 3030

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 3025, 3030 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3025 and 3030 is 5.

GCF(3025,3030) = 5

GCF of 3025 and 3030

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

GCF of:
and

Greatest Common Factor of 3025 and 3030

GCF of 3025 and 3030 is 5

Prime Factorization of 3025


5 3025
5 605
11 121
11 11
1

Prime factors of 3025 are 5,11. Prime factorization of 3025 in exponential form is:

3025 = 52×112

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

∴ So by taking common prime factors GCF of 3025 and 3030 is 5

Greatest Common Factor of 3025 and 3030 by matching factors method

Factors of 3025

List of positive integer factors of 3025 that divides 3025 without a remainder.

1,5,11,25,55,121,275,605,3025

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

Greatest Common Factor

We found the factors and prime factorization of 3025 and 3030. The biggest common factor number is the GCF number.
So the greatest common factor 3025 and 3030 is 5.

Also check out the Least Common Multiple of 3025 and 3030

Properties of GCF 3025 and 3030

(i) The GCF of 3025 and 3030 is associative

GCF of 3025 and 3030 = GCF of 3030 and 3025

Related Greatest Common Factor of 3025

Related Greatest Common Factor of 3030

Frequently Asked Questions on GCF of 3025 and 3030

1. What is the GCF of 3025 and 3030?

Answer: GCF of 3025 and 3030 is 5.

2. What are the Factors of 3025?

Answer: Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025. There are 9 integers that are factors of 3025. The greatest factor of 3025 is 3025.

3. 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.

4. How to Find the GCF of 3025 and 3030?

Answer:

Greatest Common Factor of 3025 and 3030 = 5

Step 1: Find the prime factorization of 3025

3025 = 5 x 5 x 11 x 11

Step 2: Find the prime factorization of 3030

3030 = 2 x 3 x 5 x 101

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3025 and 3030 is 5