Greatest Common Factor of 7350 and 7356

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, 7356 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7350 and 7356 is 6.

GCF(7350,7356) = 6

GCF of 7350 and 7356

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

GCF of:
and

Greatest Common Factor of 7350 and 7356

GCF of 7350 and 7356 is 6

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 7356


2 7356
2 3678
3 1839
613 613
1

Prime factors of 7356 are 2,3,613. Prime factorization of 7356 in exponential form is:

7356 = 22×31×6131

∴ So by taking common prime factors GCF of 7350 and 7356 is 6

Greatest Common Factor of 7350 and 7356 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 7356

List of positive integer factors of 7356 that divides 7356 without a remainder.

1,2,3,4,6,12,613,1226,1839,2452,3678,7356

Greatest Common Factor

We found the factors and prime factorization of 7350 and 7356. The biggest common factor number is the GCF number.
So the greatest common factor 7350 and 7356 is 6.

Also check out the Least Common Multiple of 7350 and 7356

Properties of GCF 7350 and 7356

(i) The GCF of 7350 and 7356 is associative

GCF of 7350 and 7356 = GCF of 7356 and 7350

Related Greatest Common Factor of 7350

Related Greatest Common Factor of 7356

Frequently Asked Questions on GCF of 7350 and 7356

1. What is the GCF of 7350 and 7356?

Answer: GCF of 7350 and 7356 is 6.

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 7356?

Answer: Factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356. There are 12 integers that are factors of 7356. The greatest factor of 7356 is 7356.

4. How to Find the GCF of 7350 and 7356?

Answer:

Greatest Common Factor of 7350 and 7356 = 6

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 7356

7356 = 2 x 2 x 3 x 613

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 7350 and 7356 is 6