Greatest Common Factor of 7292 and 7296

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 7292, 7296 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7292 and 7296 is 4.

GCF(7292,7296) = 4

GCF of 7292 and 7296

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

GCF of:
and

Greatest Common Factor of 7292 and 7296

GCF of 7292 and 7296 is 4

Prime Factorization of 7292


2 7292
2 3646
1823 1823
1

Prime factors of 7292 are 2,1823. Prime factorization of 7292 in exponential form is:

7292 = 22×18231

Prime Factorization of 7296


2 7296
2 3648
2 1824
2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 7296 are 2,3,19. Prime factorization of 7296 in exponential form is:

7296 = 27×31×191

∴ So by taking common prime factors GCF of 7292 and 7296 is 4

Greatest Common Factor of 7292 and 7296 by matching factors method

Factors of 7292

List of positive integer factors of 7292 that divides 7292 without a remainder.

1,2,4,1823,3646,7292

Factors of 7296

List of positive integer factors of 7296 that divides 7296 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296

Greatest Common Factor

We found the factors and prime factorization of 7292 and 7296. The biggest common factor number is the GCF number.
So the greatest common factor 7292 and 7296 is 4.

Also check out the Least Common Multiple of 7292 and 7296

Properties of GCF 7292 and 7296

(i) The GCF of 7292 and 7296 is associative

GCF of 7292 and 7296 = GCF of 7296 and 7292

Related Greatest Common Factor of 7292

Related Greatest Common Factor of 7296

Frequently Asked Questions on GCF of 7292 and 7296

1. What is the GCF of 7292 and 7296?

Answer: GCF of 7292 and 7296 is 4.

2. What are the Factors of 7292?

Answer: Factors of 7292 are 1, 2, 4, 1823, 3646, 7292. There are 6 integers that are factors of 7292. The greatest factor of 7292 is 7292.

3. What are the Factors of 7296?

Answer: Factors of 7296 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296. There are 32 integers that are factors of 7296. The greatest factor of 7296 is 7296.

4. How to Find the GCF of 7292 and 7296?

Answer:

Greatest Common Factor of 7292 and 7296 = 4

Step 1: Find the prime factorization of 7292

7292 = 2 x 2 x 1823

Step 2: Find the prime factorization of 7296

7296 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19

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 7292 and 7296 is 4