Greatest Common Factor of 7025 and 7032

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, 7032 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7025 and 7032 is 1.

GCF(7025,7032) = 1

GCF of 7025 and 7032

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

GCF of:
and

Greatest Common Factor of 7025 and 7032

GCF of 7025 and 7032 is 1

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 7032


2 7032
2 3516
2 1758
3 879
293 293
1

Prime factors of 7032 are 2,3,293. Prime factorization of 7032 in exponential form is:

7032 = 23×31×2931

∴ So by taking common prime factors GCF of 7025 and 7032 is 1

Greatest Common Factor of 7025 and 7032 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 7032

List of positive integer factors of 7032 that divides 7032 without a remainder.

1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032

Greatest Common Factor

We found the factors and prime factorization of 7025 and 7032. The biggest common factor number is the GCF number.
So the greatest common factor 7025 and 7032 is 1.

Also check out the Least Common Multiple of 7025 and 7032

Properties of GCF 7025 and 7032

(i) The GCF of 7025 and 7032 is associative

GCF of 7025 and 7032 = GCF of 7032 and 7025

Related Greatest Common Factor of 7025

Related Greatest Common Factor of 7032

Frequently Asked Questions on GCF of 7025 and 7032

1. What is the GCF of 7025 and 7032?

Answer: GCF of 7025 and 7032 is 1.

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 7032?

Answer: Factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032. There are 16 integers that are factors of 7032. The greatest factor of 7032 is 7032.

4. How to Find the GCF of 7025 and 7032?

Answer:

Greatest Common Factor of 7025 and 7032 = 1

Step 1: Find the prime factorization of 7025

7025 = 5 x 5 x 281

Step 2: Find the prime factorization of 7032

7032 = 2 x 2 x 2 x 3 x 293

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 7025 and 7032 is 1