Greatest Common Factor of 7824 and 7832

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 7824, 7832 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7824 and 7832 is 8.

GCF(7824,7832) = 8

GCF of 7824 and 7832

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

GCF of:
and

Greatest Common Factor of 7824 and 7832

GCF of 7824 and 7832 is 8

Prime Factorization of 7824


2 7824
2 3912
2 1956
2 978
3 489
163 163
1

Prime factors of 7824 are 2,3,163. Prime factorization of 7824 in exponential form is:

7824 = 24×31×1631

Prime Factorization of 7832


2 7832
2 3916
2 1958
11 979
89 89
1

Prime factors of 7832 are 2,11,89. Prime factorization of 7832 in exponential form is:

7832 = 23×111×891

∴ So by taking common prime factors GCF of 7824 and 7832 is 8

Greatest Common Factor of 7824 and 7832 by matching factors method

Factors of 7824

List of positive integer factors of 7824 that divides 7824 without a remainder.

1,2,3,4,6,8,12,16,24,48,163,326,489,652,978,1304,1956,2608,3912,7824

Factors of 7832

List of positive integer factors of 7832 that divides 7832 without a remainder.

1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832

Greatest Common Factor

We found the factors and prime factorization of 7824 and 7832. The biggest common factor number is the GCF number.
So the greatest common factor 7824 and 7832 is 8.

Also check out the Least Common Multiple of 7824 and 7832

Properties of GCF 7824 and 7832

(i) The GCF of 7824 and 7832 is associative

GCF of 7824 and 7832 = GCF of 7832 and 7824

Related Greatest Common Factor of 7824

Related Greatest Common Factor of 7832

Frequently Asked Questions on GCF of 7824 and 7832

1. What is the GCF of 7824 and 7832?

Answer: GCF of 7824 and 7832 is 8.

2. What are the Factors of 7824?

Answer: Factors of 7824 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824. There are 20 integers that are factors of 7824. The greatest factor of 7824 is 7824.

3. What are the Factors of 7832?

Answer: Factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832. There are 16 integers that are factors of 7832. The greatest factor of 7832 is 7832.

4. How to Find the GCF of 7824 and 7832?

Answer:

Greatest Common Factor of 7824 and 7832 = 8

Step 1: Find the prime factorization of 7824

7824 = 2 x 2 x 2 x 2 x 3 x 163

Step 2: Find the prime factorization of 7832

7832 = 2 x 2 x 2 x 11 x 89

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 7824 and 7832 is 8