Greatest Common Factor of 7840 and 7848

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, 7848 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7840 and 7848 is 8.

GCF(7840,7848) = 8

GCF of 7840 and 7848

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

GCF of:
and

Greatest Common Factor of 7840 and 7848

GCF of 7840 and 7848 is 8

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 7848


2 7848
2 3924
2 1962
3 981
3 327
109 109
1

Prime factors of 7848 are 2,3,109. Prime factorization of 7848 in exponential form is:

7848 = 23×32×1091

∴ So by taking common prime factors GCF of 7840 and 7848 is 8

Greatest Common Factor of 7840 and 7848 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 7848

List of positive integer factors of 7848 that divides 7848 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848

Greatest Common Factor

We found the factors and prime factorization of 7840 and 7848. The biggest common factor number is the GCF number.
So the greatest common factor 7840 and 7848 is 8.

Also check out the Least Common Multiple of 7840 and 7848

Properties of GCF 7840 and 7848

(i) The GCF of 7840 and 7848 is associative

GCF of 7840 and 7848 = GCF of 7848 and 7840

Related Greatest Common Factor of 7840

Related Greatest Common Factor of 7848

Frequently Asked Questions on GCF of 7840 and 7848

1. What is the GCF of 7840 and 7848?

Answer: GCF of 7840 and 7848 is 8.

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 7848?

Answer: Factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848. There are 24 integers that are factors of 7848. The greatest factor of 7848 is 7848.

4. How to Find the GCF of 7840 and 7848?

Answer:

Greatest Common Factor of 7840 and 7848 = 8

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 7848

7848 = 2 x 2 x 2 x 3 x 3 x 109

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7840 and 7848 is 8