Greatest Common Factor of 7025 and 7030

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 7025, 7030 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7025 and 7030 is 5.

GCF(7025,7030) = 5

GCF of 7025 and 7030

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

GCF of:
and

Greatest Common Factor of 7025 and 7030

GCF of 7025 and 7030 is 5

Prime Factorization of 7025


5 7025
5 1405
281 281
1

Prime factors of 7025 are 5,281. Prime factorization of 7025 in exponential form is:

7025 = 52×2811

Prime Factorization of 7030


2 7030
5 3515
19 703
37 37
1

Prime factors of 7030 are 2,5,19,37. Prime factorization of 7030 in exponential form is:

7030 = 21×51×191×371

∴ So by taking common prime factors GCF of 7025 and 7030 is 5

Greatest Common Factor of 7025 and 7030 by matching factors method

Factors of 7025

List of positive integer factors of 7025 that divides 7025 without a remainder.

1,5,25,281,1405,7025

Factors of 7030

List of positive integer factors of 7030 that divides 7030 without a remainder.

1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030

Greatest Common Factor

We found the factors and prime factorization of 7025 and 7030. The biggest common factor number is the GCF number.
So the greatest common factor 7025 and 7030 is 5.

Also check out the Least Common Multiple of 7025 and 7030

Properties of GCF 7025 and 7030

(i) The GCF of 7025 and 7030 is associative

GCF of 7025 and 7030 = GCF of 7030 and 7025

Related Greatest Common Factor of 7025

Related Greatest Common Factor of 7030

Frequently Asked Questions on GCF of 7025 and 7030

1. What is the GCF of 7025 and 7030?

Answer: GCF of 7025 and 7030 is 5.

2. What are the Factors of 7025?

Answer: Factors of 7025 are 1, 5, 25, 281, 1405, 7025. There are 6 integers that are factors of 7025. The greatest factor of 7025 is 7025.

3. What are the Factors of 7030?

Answer: Factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030. There are 16 integers that are factors of 7030. The greatest factor of 7030 is 7030.

4. How to Find the GCF of 7025 and 7030?

Answer:

Greatest Common Factor of 7025 and 7030 = 5

Step 1: Find the prime factorization of 7025

7025 = 5 x 5 x 281

Step 2: Find the prime factorization of 7030

7030 = 2 x 5 x 19 x 37

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 7025 and 7030 is 5