Greatest Common Factor of 7350 and 7355

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, 7355 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7350 and 7355 is 5.

GCF(7350,7355) = 5

GCF of 7350 and 7355

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

GCF of:
and

Greatest Common Factor of 7350 and 7355

GCF of 7350 and 7355 is 5

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 7355


5 7355
1471 1471
1

Prime factors of 7355 are 5,1471. Prime factorization of 7355 in exponential form is:

7355 = 51×14711

∴ So by taking common prime factors GCF of 7350 and 7355 is 5

Greatest Common Factor of 7350 and 7355 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 7355

List of positive integer factors of 7355 that divides 7355 without a remainder.

1,5,1471,7355

Greatest Common Factor

We found the factors and prime factorization of 7350 and 7355. The biggest common factor number is the GCF number.
So the greatest common factor 7350 and 7355 is 5.

Also check out the Least Common Multiple of 7350 and 7355

Properties of GCF 7350 and 7355

(i) The GCF of 7350 and 7355 is associative

GCF of 7350 and 7355 = GCF of 7355 and 7350

Related Greatest Common Factor of 7350

Related Greatest Common Factor of 7355

Frequently Asked Questions on GCF of 7350 and 7355

1. What is the GCF of 7350 and 7355?

Answer: GCF of 7350 and 7355 is 5.

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 7355?

Answer: Factors of 7355 are 1, 5, 1471, 7355. There are 4 integers that are factors of 7355. The greatest factor of 7355 is 7355.

4. How to Find the GCF of 7350 and 7355?

Answer:

Greatest Common Factor of 7350 and 7355 = 5

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 7355

7355 = 5 x 1471

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 7350 and 7355 is 5