Greatest Common Factor of 7250 and 7257

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, 7257 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7250 and 7257 is 1.

GCF(7250,7257) = 1

GCF of 7250 and 7257

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

GCF of:
and

Greatest Common Factor of 7250 and 7257

GCF of 7250 and 7257 is 1

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 7257


3 7257
41 2419
59 59
1

Prime factors of 7257 are 3,41,59. Prime factorization of 7257 in exponential form is:

7257 = 31×411×591

∴ So by taking common prime factors GCF of 7250 and 7257 is 1

Greatest Common Factor of 7250 and 7257 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 7257

List of positive integer factors of 7257 that divides 7257 without a remainder.

1,3,41,59,123,177,2419,7257

Greatest Common Factor

We found the factors and prime factorization of 7250 and 7257. The biggest common factor number is the GCF number.
So the greatest common factor 7250 and 7257 is 1.

Also check out the Least Common Multiple of 7250 and 7257

Properties of GCF 7250 and 7257

(i) The GCF of 7250 and 7257 is associative

GCF of 7250 and 7257 = GCF of 7257 and 7250

Related Greatest Common Factor of 7250

Related Greatest Common Factor of 7257

Frequently Asked Questions on GCF of 7250 and 7257

1. What is the GCF of 7250 and 7257?

Answer: GCF of 7250 and 7257 is 1.

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 7257?

Answer: Factors of 7257 are 1, 3, 41, 59, 123, 177, 2419, 7257. There are 8 integers that are factors of 7257. The greatest factor of 7257 is 7257.

4. How to Find the GCF of 7250 and 7257?

Answer:

Greatest Common Factor of 7250 and 7257 = 1

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 7257

7257 = 3 x 41 x 59

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 7250 and 7257 is 1