Greatest Common Factor of 6025 and 6030

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 6025, 6030 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6025 and 6030 is 5.

GCF(6025,6030) = 5

GCF of 6025 and 6030

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

GCF of:
and

Greatest Common Factor of 6025 and 6030

GCF of 6025 and 6030 is 5

Prime Factorization of 6025


5 6025
5 1205
241 241
1

Prime factors of 6025 are 5,241. Prime factorization of 6025 in exponential form is:

6025 = 52×2411

Prime Factorization of 6030


2 6030
3 3015
3 1005
5 335
67 67
1

Prime factors of 6030 are 2,3,5,67. Prime factorization of 6030 in exponential form is:

6030 = 21×32×51×671

∴ So by taking common prime factors GCF of 6025 and 6030 is 5

Greatest Common Factor of 6025 and 6030 by matching factors method

Factors of 6025

List of positive integer factors of 6025 that divides 6025 without a remainder.

1,5,25,241,1205,6025

Factors of 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030

Greatest Common Factor

We found the factors and prime factorization of 6025 and 6030. The biggest common factor number is the GCF number.
So the greatest common factor 6025 and 6030 is 5.

Also check out the Least Common Multiple of 6025 and 6030

Properties of GCF 6025 and 6030

(i) The GCF of 6025 and 6030 is associative

GCF of 6025 and 6030 = GCF of 6030 and 6025

Related Greatest Common Factor of 6025

Related Greatest Common Factor of 6030

Frequently Asked Questions on GCF of 6025 and 6030

1. What is the GCF of 6025 and 6030?

Answer: GCF of 6025 and 6030 is 5.

2. What are the Factors of 6025?

Answer: Factors of 6025 are 1, 5, 25, 241, 1205, 6025. There are 6 integers that are factors of 6025. The greatest factor of 6025 is 6025.

3. What are the Factors of 6030?

Answer: Factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030. There are 24 integers that are factors of 6030. The greatest factor of 6030 is 6030.

4. How to Find the GCF of 6025 and 6030?

Answer:

Greatest Common Factor of 6025 and 6030 = 5

Step 1: Find the prime factorization of 6025

6025 = 5 x 5 x 241

Step 2: Find the prime factorization of 6030

6030 = 2 x 3 x 3 x 5 x 67

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 6025 and 6030 is 5