Greatest Common Factor of 7824 and 7827

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, 7827 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7824 and 7827 is 3.

GCF(7824,7827) = 3

GCF of 7824 and 7827

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

GCF of:
and

Greatest Common Factor of 7824 and 7827

GCF of 7824 and 7827 is 3

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 7827


3 7827
2609 2609
1

Prime factors of 7827 are 3,2609. Prime factorization of 7827 in exponential form is:

7827 = 31×26091

∴ So by taking common prime factors GCF of 7824 and 7827 is 3

Greatest Common Factor of 7824 and 7827 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 7827

List of positive integer factors of 7827 that divides 7827 without a remainder.

1,3,2609,7827

Greatest Common Factor

We found the factors and prime factorization of 7824 and 7827. The biggest common factor number is the GCF number.
So the greatest common factor 7824 and 7827 is 3.

Also check out the Least Common Multiple of 7824 and 7827

Properties of GCF 7824 and 7827

(i) The GCF of 7824 and 7827 is associative

GCF of 7824 and 7827 = GCF of 7827 and 7824

Related Greatest Common Factor of 7824

Related Greatest Common Factor of 7827

Frequently Asked Questions on GCF of 7824 and 7827

1. What is the GCF of 7824 and 7827?

Answer: GCF of 7824 and 7827 is 3.

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 7827?

Answer: Factors of 7827 are 1, 3, 2609, 7827. There are 4 integers that are factors of 7827. The greatest factor of 7827 is 7827.

4. How to Find the GCF of 7824 and 7827?

Answer:

Greatest Common Factor of 7824 and 7827 = 3

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 7827

7827 = 3 x 2609

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7824 and 7827 is 3