Greatest Common Factor of 7824 and 7826

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, 7826 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7824 and 7826 is 2.

GCF(7824,7826) = 2

GCF of 7824 and 7826

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

GCF of:
and

Greatest Common Factor of 7824 and 7826

GCF of 7824 and 7826 is 2

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 7826


2 7826
7 3913
13 559
43 43
1

Prime factors of 7826 are 2,7,13,43. Prime factorization of 7826 in exponential form is:

7826 = 21×71×131×431

∴ So by taking common prime factors GCF of 7824 and 7826 is 2

Greatest Common Factor of 7824 and 7826 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 7826

List of positive integer factors of 7826 that divides 7826 without a remainder.

1,2,7,13,14,26,43,86,91,182,301,559,602,1118,3913,7826

Greatest Common Factor

We found the factors and prime factorization of 7824 and 7826. The biggest common factor number is the GCF number.
So the greatest common factor 7824 and 7826 is 2.

Also check out the Least Common Multiple of 7824 and 7826

Properties of GCF 7824 and 7826

(i) The GCF of 7824 and 7826 is associative

GCF of 7824 and 7826 = GCF of 7826 and 7824

Related Greatest Common Factor of 7824

Related Greatest Common Factor of 7826

Frequently Asked Questions on GCF of 7824 and 7826

1. What is the GCF of 7824 and 7826?

Answer: GCF of 7824 and 7826 is 2.

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 7826?

Answer: Factors of 7826 are 1, 2, 7, 13, 14, 26, 43, 86, 91, 182, 301, 559, 602, 1118, 3913, 7826. There are 16 integers that are factors of 7826. The greatest factor of 7826 is 7826.

4. How to Find the GCF of 7824 and 7826?

Answer:

Greatest Common Factor of 7824 and 7826 = 2

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 7826

7826 = 2 x 7 x 13 x 43

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7824 and 7826 is 2