Greatest Common Factor of 7840 and 7847

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, 7847 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7840 and 7847 is 7.

GCF(7840,7847) = 7

GCF of 7840 and 7847

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

GCF of:
and

Greatest Common Factor of 7840 and 7847

GCF of 7840 and 7847 is 7

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 7847


7 7847
19 1121
59 59
1

Prime factors of 7847 are 7,19,59. Prime factorization of 7847 in exponential form is:

7847 = 71×191×591

∴ So by taking common prime factors GCF of 7840 and 7847 is 7

Greatest Common Factor of 7840 and 7847 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 7847

List of positive integer factors of 7847 that divides 7847 without a remainder.

1,7,19,59,133,413,1121,7847

Greatest Common Factor

We found the factors and prime factorization of 7840 and 7847. The biggest common factor number is the GCF number.
So the greatest common factor 7840 and 7847 is 7.

Also check out the Least Common Multiple of 7840 and 7847

Properties of GCF 7840 and 7847

(i) The GCF of 7840 and 7847 is associative

GCF of 7840 and 7847 = GCF of 7847 and 7840

Related Greatest Common Factor of 7840

Related Greatest Common Factor of 7847

Frequently Asked Questions on GCF of 7840 and 7847

1. What is the GCF of 7840 and 7847?

Answer: GCF of 7840 and 7847 is 7.

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 7847?

Answer: Factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847. There are 8 integers that are factors of 7847. The greatest factor of 7847 is 7847.

4. How to Find the GCF of 7840 and 7847?

Answer:

Greatest Common Factor of 7840 and 7847 = 7

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 7847

7847 = 7 x 19 x 59

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7840 and 7847 is 7