Greatest Common Factor of 8140 and 8145

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 8140, 8145 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8140 and 8145 is 5.

GCF(8140,8145) = 5

GCF of 8140 and 8145

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

GCF of:
and

Greatest Common Factor of 8140 and 8145

GCF of 8140 and 8145 is 5

Prime Factorization of 8140


2 8140
2 4070
5 2035
11 407
37 37
1

Prime factors of 8140 are 2,5,11,37. Prime factorization of 8140 in exponential form is:

8140 = 22×51×111×371

Prime Factorization of 8145


3 8145
3 2715
5 905
181 181
1

Prime factors of 8145 are 3,5,181. Prime factorization of 8145 in exponential form is:

8145 = 32×51×1811

∴ So by taking common prime factors GCF of 8140 and 8145 is 5

Greatest Common Factor of 8140 and 8145 by matching factors method

Factors of 8140

List of positive integer factors of 8140 that divides 8140 without a remainder.

1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140

Factors of 8145

List of positive integer factors of 8145 that divides 8145 without a remainder.

1,3,5,9,15,45,181,543,905,1629,2715,8145

Greatest Common Factor

We found the factors and prime factorization of 8140 and 8145. The biggest common factor number is the GCF number.
So the greatest common factor 8140 and 8145 is 5.

Also check out the Least Common Multiple of 8140 and 8145

Properties of GCF 8140 and 8145

(i) The GCF of 8140 and 8145 is associative

GCF of 8140 and 8145 = GCF of 8145 and 8140

Related Greatest Common Factor of 8140

Related Greatest Common Factor of 8145

Frequently Asked Questions on GCF of 8140 and 8145

1. What is the GCF of 8140 and 8145?

Answer: GCF of 8140 and 8145 is 5.

2. What are the Factors of 8140?

Answer: Factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140. There are 24 integers that are factors of 8140. The greatest factor of 8140 is 8140.

3. What are the Factors of 8145?

Answer: Factors of 8145 are 1, 3, 5, 9, 15, 45, 181, 543, 905, 1629, 2715, 8145. There are 12 integers that are factors of 8145. The greatest factor of 8145 is 8145.

4. How to Find the GCF of 8140 and 8145?

Answer:

Greatest Common Factor of 8140 and 8145 = 5

Step 1: Find the prime factorization of 8140

8140 = 2 x 2 x 5 x 11 x 37

Step 2: Find the prime factorization of 8145

8145 = 3 x 3 x 5 x 181

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 8140 and 8145 is 5