Greatest Common Factor of 7350 and 7357

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 7350, 7357 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7350 and 7357 is 7.

GCF(7350,7357) = 7

GCF of 7350 and 7357

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

GCF of:
and

Greatest Common Factor of 7350 and 7357

GCF of 7350 and 7357 is 7

Prime Factorization of 7350


2 7350
3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 7350 are 2,3,5,7. Prime factorization of 7350 in exponential form is:

7350 = 21×31×52×72

Prime Factorization of 7357


7 7357
1051 1051
1

Prime factors of 7357 are 7,1051. Prime factorization of 7357 in exponential form is:

7357 = 71×10511

∴ So by taking common prime factors GCF of 7350 and 7357 is 7

Greatest Common Factor of 7350 and 7357 by matching factors method

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350

Factors of 7357

List of positive integer factors of 7357 that divides 7357 without a remainder.

1,7,1051,7357

Greatest Common Factor

We found the factors and prime factorization of 7350 and 7357. The biggest common factor number is the GCF number.
So the greatest common factor 7350 and 7357 is 7.

Also check out the Least Common Multiple of 7350 and 7357

Properties of GCF 7350 and 7357

(i) The GCF of 7350 and 7357 is associative

GCF of 7350 and 7357 = GCF of 7357 and 7350

Related Greatest Common Factor of 7350

Related Greatest Common Factor of 7357

Frequently Asked Questions on GCF of 7350 and 7357

1. What is the GCF of 7350 and 7357?

Answer: GCF of 7350 and 7357 is 7.

2. What are the Factors of 7350?

Answer: Factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350. There are 36 integers that are factors of 7350. The greatest factor of 7350 is 7350.

3. What are the Factors of 7357?

Answer: Factors of 7357 are 1, 7, 1051, 7357. There are 4 integers that are factors of 7357. The greatest factor of 7357 is 7357.

4. How to Find the GCF of 7350 and 7357?

Answer:

Greatest Common Factor of 7350 and 7357 = 7

Step 1: Find the prime factorization of 7350

7350 = 2 x 3 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 7357

7357 = 7 x 1051

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7350 and 7357 is 7