Greatest Common Factor of 7832 and 7836

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 7832, 7836 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7832 and 7836 is 4.

GCF(7832,7836) = 4

GCF of 7832 and 7836

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

GCF of:
and

Greatest Common Factor of 7832 and 7836

GCF of 7832 and 7836 is 4

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

Prime Factorization of 7836


2 7836
2 3918
3 1959
653 653
1

Prime factors of 7836 are 2,3,653. Prime factorization of 7836 in exponential form is:

7836 = 22×31×6531

∴ So by taking common prime factors GCF of 7832 and 7836 is 4

Greatest Common Factor of 7832 and 7836 by matching factors method

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

Factors of 7836

List of positive integer factors of 7836 that divides 7836 without a remainder.

1,2,3,4,6,12,653,1306,1959,2612,3918,7836

Greatest Common Factor

We found the factors and prime factorization of 7832 and 7836. The biggest common factor number is the GCF number.
So the greatest common factor 7832 and 7836 is 4.

Also check out the Least Common Multiple of 7832 and 7836

Properties of GCF 7832 and 7836

(i) The GCF of 7832 and 7836 is associative

GCF of 7832 and 7836 = GCF of 7836 and 7832

Related Greatest Common Factor of 7832

Related Greatest Common Factor of 7836

Frequently Asked Questions on GCF of 7832 and 7836

1. What is the GCF of 7832 and 7836?

Answer: GCF of 7832 and 7836 is 4.

2. 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.

3. What are the Factors of 7836?

Answer: Factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836. There are 12 integers that are factors of 7836. The greatest factor of 7836 is 7836.

4. How to Find the GCF of 7832 and 7836?

Answer:

Greatest Common Factor of 7832 and 7836 = 4

Step 1: Find the prime factorization of 7832

7832 = 2 x 2 x 2 x 11 x 89

Step 2: Find the prime factorization of 7836

7836 = 2 x 2 x 3 x 653

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 7832 and 7836 is 4