Greatest Common Factor of 7344 and 7350

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 7344, 7350 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7344 and 7350 is 6.

GCF(7344,7350) = 6

GCF of 7344 and 7350

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

GCF of:
and

Greatest Common Factor of 7344 and 7350

GCF of 7344 and 7350 is 6

Prime Factorization of 7344


2 7344
2 3672
2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 7344 are 2,3,17. Prime factorization of 7344 in exponential form is:

7344 = 24×33×171

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

∴ So by taking common prime factors GCF of 7344 and 7350 is 6

Greatest Common Factor of 7344 and 7350 by matching factors method

Factors of 7344

List of positive integer factors of 7344 that divides 7344 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344

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

Greatest Common Factor

We found the factors and prime factorization of 7344 and 7350. The biggest common factor number is the GCF number.
So the greatest common factor 7344 and 7350 is 6.

Also check out the Least Common Multiple of 7344 and 7350

Properties of GCF 7344 and 7350

(i) The GCF of 7344 and 7350 is associative

GCF of 7344 and 7350 = GCF of 7350 and 7344

Related Greatest Common Factor of 7344

Related Greatest Common Factor of 7350

Frequently Asked Questions on GCF of 7344 and 7350

1. What is the GCF of 7344 and 7350?

Answer: GCF of 7344 and 7350 is 6.

2. What are the Factors of 7344?

Answer: Factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344. There are 40 integers that are factors of 7344. The greatest factor of 7344 is 7344.

3. 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.

4. How to Find the GCF of 7344 and 7350?

Answer:

Greatest Common Factor of 7344 and 7350 = 6

Step 1: Find the prime factorization of 7344

7344 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 7350

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7344 and 7350 is 6