Greatest Common Factor of 8240 and 8245

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 8240, 8245 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8240 and 8245 is 5.

GCF(8240,8245) = 5

GCF of 8240 and 8245

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

GCF of:
and

Greatest Common Factor of 8240 and 8245

GCF of 8240 and 8245 is 5

Prime Factorization of 8240


2 8240
2 4120
2 2060
2 1030
5 515
103 103
1

Prime factors of 8240 are 2,5,103. Prime factorization of 8240 in exponential form is:

8240 = 24×51×1031

Prime Factorization of 8245


5 8245
17 1649
97 97
1

Prime factors of 8245 are 5,17,97. Prime factorization of 8245 in exponential form is:

8245 = 51×171×971

∴ So by taking common prime factors GCF of 8240 and 8245 is 5

Greatest Common Factor of 8240 and 8245 by matching factors method

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Factors of 8245

List of positive integer factors of 8245 that divides 8245 without a remainder.

1,5,17,85,97,485,1649,8245

Greatest Common Factor

We found the factors and prime factorization of 8240 and 8245. The biggest common factor number is the GCF number.
So the greatest common factor 8240 and 8245 is 5.

Also check out the Least Common Multiple of 8240 and 8245

Properties of GCF 8240 and 8245

(i) The GCF of 8240 and 8245 is associative

GCF of 8240 and 8245 = GCF of 8245 and 8240

Related Greatest Common Factor of 8240

Related Greatest Common Factor of 8245

Frequently Asked Questions on GCF of 8240 and 8245

1. What is the GCF of 8240 and 8245?

Answer: GCF of 8240 and 8245 is 5.

2. What are the Factors of 8240?

Answer: Factors of 8240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120, 8240. There are 20 integers that are factors of 8240. The greatest factor of 8240 is 8240.

3. What are the Factors of 8245?

Answer: Factors of 8245 are 1, 5, 17, 85, 97, 485, 1649, 8245. There are 8 integers that are factors of 8245. The greatest factor of 8245 is 8245.

4. How to Find the GCF of 8240 and 8245?

Answer:

Greatest Common Factor of 8240 and 8245 = 5

Step 1: Find the prime factorization of 8240

8240 = 2 x 2 x 2 x 2 x 5 x 103

Step 2: Find the prime factorization of 8245

8245 = 5 x 17 x 97

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 8240 and 8245 is 5