Greatest Common Factor of 7840 and 7844

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 7840, 7844 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7840 and 7844 is 4.

GCF(7840,7844) = 4

GCF of 7840 and 7844

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

GCF of:
and

Greatest Common Factor of 7840 and 7844

GCF of 7840 and 7844 is 4

Prime Factorization of 7840


2 7840
2 3920
2 1960
2 980
2 490
5 245
7 49
7 7
1

Prime factors of 7840 are 2,5,7. Prime factorization of 7840 in exponential form is:

7840 = 25×51×72

Prime Factorization of 7844


2 7844
2 3922
37 1961
53 53
1

Prime factors of 7844 are 2,37,53. Prime factorization of 7844 in exponential form is:

7844 = 22×371×531

∴ So by taking common prime factors GCF of 7840 and 7844 is 4

Greatest Common Factor of 7840 and 7844 by matching factors method

Factors of 7840

List of positive integer factors of 7840 that divides 7840 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840

Factors of 7844

List of positive integer factors of 7844 that divides 7844 without a remainder.

1,2,4,37,53,74,106,148,212,1961,3922,7844

Greatest Common Factor

We found the factors and prime factorization of 7840 and 7844. The biggest common factor number is the GCF number.
So the greatest common factor 7840 and 7844 is 4.

Also check out the Least Common Multiple of 7840 and 7844

Properties of GCF 7840 and 7844

(i) The GCF of 7840 and 7844 is associative

GCF of 7840 and 7844 = GCF of 7844 and 7840

Related Greatest Common Factor of 7840

Related Greatest Common Factor of 7844

Frequently Asked Questions on GCF of 7840 and 7844

1. What is the GCF of 7840 and 7844?

Answer: GCF of 7840 and 7844 is 4.

2. What are the Factors of 7840?

Answer: Factors of 7840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840. There are 36 integers that are factors of 7840. The greatest factor of 7840 is 7840.

3. What are the Factors of 7844?

Answer: Factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844. There are 12 integers that are factors of 7844. The greatest factor of 7844 is 7844.

4. How to Find the GCF of 7840 and 7844?

Answer:

Greatest Common Factor of 7840 and 7844 = 4

Step 1: Find the prime factorization of 7840

7840 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 7844

7844 = 2 x 2 x 37 x 53

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 7840 and 7844 is 4