Greatest Common Factor of 7350 and 7358

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, 7358 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7350 and 7358 is 2.

GCF(7350,7358) = 2

GCF of 7350 and 7358

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

GCF of:
and

Greatest Common Factor of 7350 and 7358

GCF of 7350 and 7358 is 2

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 7358


2 7358
13 3679
283 283
1

Prime factors of 7358 are 2,13,283. Prime factorization of 7358 in exponential form is:

7358 = 21×131×2831

∴ So by taking common prime factors GCF of 7350 and 7358 is 2

Greatest Common Factor of 7350 and 7358 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 7358

List of positive integer factors of 7358 that divides 7358 without a remainder.

1,2,13,26,283,566,3679,7358

Greatest Common Factor

We found the factors and prime factorization of 7350 and 7358. The biggest common factor number is the GCF number.
So the greatest common factor 7350 and 7358 is 2.

Also check out the Least Common Multiple of 7350 and 7358

Properties of GCF 7350 and 7358

(i) The GCF of 7350 and 7358 is associative

GCF of 7350 and 7358 = GCF of 7358 and 7350

Related Greatest Common Factor of 7350

Related Greatest Common Factor of 7358

Frequently Asked Questions on GCF of 7350 and 7358

1. What is the GCF of 7350 and 7358?

Answer: GCF of 7350 and 7358 is 2.

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 7358?

Answer: Factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358. There are 8 integers that are factors of 7358. The greatest factor of 7358 is 7358.

4. How to Find the GCF of 7350 and 7358?

Answer:

Greatest Common Factor of 7350 and 7358 = 2

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 7358

7358 = 2 x 13 x 283

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 7350 and 7358 is 2