Greatest Common Factor of 7356 and 7360

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 7356, 7360 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7356 and 7360 is 4.

GCF(7356,7360) = 4

GCF of 7356 and 7360

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

GCF of:
and

Greatest Common Factor of 7356 and 7360

GCF of 7356 and 7360 is 4

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

Prime Factorization of 7360


2 7360
2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 7360 are 2,5,23. Prime factorization of 7360 in exponential form is:

7360 = 26×51×231

∴ So by taking common prime factors GCF of 7356 and 7360 is 4

Greatest Common Factor of 7356 and 7360 by matching factors method

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

Factors of 7360

List of positive integer factors of 7360 that divides 7360 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360

Greatest Common Factor

We found the factors and prime factorization of 7356 and 7360. The biggest common factor number is the GCF number.
So the greatest common factor 7356 and 7360 is 4.

Also check out the Least Common Multiple of 7356 and 7360

Properties of GCF 7356 and 7360

(i) The GCF of 7356 and 7360 is associative

GCF of 7356 and 7360 = GCF of 7360 and 7356

Related Greatest Common Factor of 7356

Related Greatest Common Factor of 7360

Frequently Asked Questions on GCF of 7356 and 7360

1. What is the GCF of 7356 and 7360?

Answer: GCF of 7356 and 7360 is 4.

2. 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.

3. What are the Factors of 7360?

Answer: Factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360. There are 28 integers that are factors of 7360. The greatest factor of 7360 is 7360.

4. How to Find the GCF of 7356 and 7360?

Answer:

Greatest Common Factor of 7356 and 7360 = 4

Step 1: Find the prime factorization of 7356

7356 = 2 x 2 x 3 x 613

Step 2: Find the prime factorization of 7360

7360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7356 and 7360 is 4