Greatest Common Factor of 7347 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 7347, 7350 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7347 and 7350 is 3.

GCF(7347,7350) = 3

GCF of 7347 and 7350

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

GCF of:
and

Greatest Common Factor of 7347 and 7350

GCF of 7347 and 7350 is 3

Prime Factorization of 7347


3 7347
31 2449
79 79
1

Prime factors of 7347 are 3,31,79. Prime factorization of 7347 in exponential form is:

7347 = 31×311×791

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 7347 and 7350 is 3

Greatest Common Factor of 7347 and 7350 by matching factors method

Factors of 7347

List of positive integer factors of 7347 that divides 7347 without a remainder.

1,3,31,79,93,237,2449,7347

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 7347 and 7350. The biggest common factor number is the GCF number.
So the greatest common factor 7347 and 7350 is 3.

Also check out the Least Common Multiple of 7347 and 7350

Properties of GCF 7347 and 7350

(i) The GCF of 7347 and 7350 is associative

GCF of 7347 and 7350 = GCF of 7350 and 7347

Related Greatest Common Factor of 7347

Related Greatest Common Factor of 7350

Frequently Asked Questions on GCF of 7347 and 7350

1. What is the GCF of 7347 and 7350?

Answer: GCF of 7347 and 7350 is 3.

2. What are the Factors of 7347?

Answer: Factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347. There are 8 integers that are factors of 7347. The greatest factor of 7347 is 7347.

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 7347 and 7350?

Answer:

Greatest Common Factor of 7347 and 7350 = 3

Step 1: Find the prime factorization of 7347

7347 = 3 x 31 x 79

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 = 3

Step 4: Therefore, the greatest common factor of 7347 and 7350 is 3