Greatest Common Factor of 7250 and 7255

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 7250, 7255 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7250 and 7255 is 5.

GCF(7250,7255) = 5

GCF of 7250 and 7255

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

GCF of:
and

Greatest Common Factor of 7250 and 7255

GCF of 7250 and 7255 is 5

Prime Factorization of 7250


2 7250
5 3625
5 725
5 145
29 29
1

Prime factors of 7250 are 2,5,29. Prime factorization of 7250 in exponential form is:

7250 = 21×53×291

Prime Factorization of 7255


5 7255
1451 1451
1

Prime factors of 7255 are 5,1451. Prime factorization of 7255 in exponential form is:

7255 = 51×14511

∴ So by taking common prime factors GCF of 7250 and 7255 is 5

Greatest Common Factor of 7250 and 7255 by matching factors method

Factors of 7250

List of positive integer factors of 7250 that divides 7250 without a remainder.

1,2,5,10,25,29,50,58,125,145,250,290,725,1450,3625,7250

Factors of 7255

List of positive integer factors of 7255 that divides 7255 without a remainder.

1,5,1451,7255

Greatest Common Factor

We found the factors and prime factorization of 7250 and 7255. The biggest common factor number is the GCF number.
So the greatest common factor 7250 and 7255 is 5.

Also check out the Least Common Multiple of 7250 and 7255

Properties of GCF 7250 and 7255

(i) The GCF of 7250 and 7255 is associative

GCF of 7250 and 7255 = GCF of 7255 and 7250

Related Greatest Common Factor of 7250

Related Greatest Common Factor of 7255

Frequently Asked Questions on GCF of 7250 and 7255

1. What is the GCF of 7250 and 7255?

Answer: GCF of 7250 and 7255 is 5.

2. What are the Factors of 7250?

Answer: Factors of 7250 are 1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 725, 1450, 3625, 7250. There are 16 integers that are factors of 7250. The greatest factor of 7250 is 7250.

3. What are the Factors of 7255?

Answer: Factors of 7255 are 1, 5, 1451, 7255. There are 4 integers that are factors of 7255. The greatest factor of 7255 is 7255.

4. How to Find the GCF of 7250 and 7255?

Answer:

Greatest Common Factor of 7250 and 7255 = 5

Step 1: Find the prime factorization of 7250

7250 = 2 x 5 x 5 x 5 x 29

Step 2: Find the prime factorization of 7255

7255 = 5 x 1451

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 7250 and 7255 is 5