Greatest Common Factor of 7250 and 7254

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, 7254 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7250 and 7254 is 2.

GCF(7250,7254) = 2

GCF of 7250 and 7254

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

GCF of:
and

Greatest Common Factor of 7250 and 7254

GCF of 7250 and 7254 is 2

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 7254


2 7254
3 3627
3 1209
13 403
31 31
1

Prime factors of 7254 are 2,3,13,31. Prime factorization of 7254 in exponential form is:

7254 = 21×32×131×311

∴ So by taking common prime factors GCF of 7250 and 7254 is 2

Greatest Common Factor of 7250 and 7254 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 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254

Greatest Common Factor

We found the factors and prime factorization of 7250 and 7254. The biggest common factor number is the GCF number.
So the greatest common factor 7250 and 7254 is 2.

Also check out the Least Common Multiple of 7250 and 7254

Properties of GCF 7250 and 7254

(i) The GCF of 7250 and 7254 is associative

GCF of 7250 and 7254 = GCF of 7254 and 7250

Related Greatest Common Factor of 7250

Related Greatest Common Factor of 7254

Frequently Asked Questions on GCF of 7250 and 7254

1. What is the GCF of 7250 and 7254?

Answer: GCF of 7250 and 7254 is 2.

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 7254?

Answer: Factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254. There are 24 integers that are factors of 7254. The greatest factor of 7254 is 7254.

4. How to Find the GCF of 7250 and 7254?

Answer:

Greatest Common Factor of 7250 and 7254 = 2

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 7254

7254 = 2 x 3 x 3 x 13 x 31

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7250 and 7254 is 2