Greatest Common Factor of 7592 and 7600

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 7592, 7600 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7592 and 7600 is 8.

GCF(7592,7600) = 8

GCF of 7592 and 7600

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

GCF of:
and

Greatest Common Factor of 7592 and 7600

GCF of 7592 and 7600 is 8

Prime Factorization of 7592


2 7592
2 3796
2 1898
13 949
73 73
1

Prime factors of 7592 are 2,13,73. Prime factorization of 7592 in exponential form is:

7592 = 23×131×731

Prime Factorization of 7600


2 7600
2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 7600 are 2,5,19. Prime factorization of 7600 in exponential form is:

7600 = 24×52×191

∴ So by taking common prime factors GCF of 7592 and 7600 is 8

Greatest Common Factor of 7592 and 7600 by matching factors method

Factors of 7592

List of positive integer factors of 7592 that divides 7592 without a remainder.

1,2,4,8,13,26,52,73,104,146,292,584,949,1898,3796,7592

Factors of 7600

List of positive integer factors of 7600 that divides 7600 without a remainder.

1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600

Greatest Common Factor

We found the factors and prime factorization of 7592 and 7600. The biggest common factor number is the GCF number.
So the greatest common factor 7592 and 7600 is 8.

Also check out the Least Common Multiple of 7592 and 7600

Properties of GCF 7592 and 7600

(i) The GCF of 7592 and 7600 is associative

GCF of 7592 and 7600 = GCF of 7600 and 7592

Related Greatest Common Factor of 7592

Related Greatest Common Factor of 7600

Frequently Asked Questions on GCF of 7592 and 7600

1. What is the GCF of 7592 and 7600?

Answer: GCF of 7592 and 7600 is 8.

2. What are the Factors of 7592?

Answer: Factors of 7592 are 1, 2, 4, 8, 13, 26, 52, 73, 104, 146, 292, 584, 949, 1898, 3796, 7592. There are 16 integers that are factors of 7592. The greatest factor of 7592 is 7592.

3. What are the Factors of 7600?

Answer: Factors of 7600 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600. There are 30 integers that are factors of 7600. The greatest factor of 7600 is 7600.

4. How to Find the GCF of 7592 and 7600?

Answer:

Greatest Common Factor of 7592 and 7600 = 8

Step 1: Find the prime factorization of 7592

7592 = 2 x 2 x 2 x 13 x 73

Step 2: Find the prime factorization of 7600

7600 = 2 x 2 x 2 x 2 x 5 x 5 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 x 2 = 8

Step 4: Therefore, the greatest common factor of 7592 and 7600 is 8