Greatest Common Factor of 7840 and 7845

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, 7845 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7840 and 7845 is 5.

GCF(7840,7845) = 5

GCF of 7840 and 7845

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

GCF of:
and

Greatest Common Factor of 7840 and 7845

GCF of 7840 and 7845 is 5

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 7845


3 7845
5 2615
523 523
1

Prime factors of 7845 are 3,5,523. Prime factorization of 7845 in exponential form is:

7845 = 31×51×5231

∴ So by taking common prime factors GCF of 7840 and 7845 is 5

Greatest Common Factor of 7840 and 7845 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 7845

List of positive integer factors of 7845 that divides 7845 without a remainder.

1,3,5,15,523,1569,2615,7845

Greatest Common Factor

We found the factors and prime factorization of 7840 and 7845. The biggest common factor number is the GCF number.
So the greatest common factor 7840 and 7845 is 5.

Also check out the Least Common Multiple of 7840 and 7845

Properties of GCF 7840 and 7845

(i) The GCF of 7840 and 7845 is associative

GCF of 7840 and 7845 = GCF of 7845 and 7840

Related Greatest Common Factor of 7840

Related Greatest Common Factor of 7845

Frequently Asked Questions on GCF of 7840 and 7845

1. What is the GCF of 7840 and 7845?

Answer: GCF of 7840 and 7845 is 5.

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 7845?

Answer: Factors of 7845 are 1, 3, 5, 15, 523, 1569, 2615, 7845. There are 8 integers that are factors of 7845. The greatest factor of 7845 is 7845.

4. How to Find the GCF of 7840 and 7845?

Answer:

Greatest Common Factor of 7840 and 7845 = 5

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 7845

7845 = 3 x 5 x 523

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7840 and 7845 is 5