Greatest Common Factor of 8115 and 8120

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 8115, 8120 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8115 and 8120 is 5.

GCF(8115,8120) = 5

GCF of 8115 and 8120

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

GCF of:
and

Greatest Common Factor of 8115 and 8120

GCF of 8115 and 8120 is 5

Prime Factorization of 8115


3 8115
5 2705
541 541
1

Prime factors of 8115 are 3,5,541. Prime factorization of 8115 in exponential form is:

8115 = 31×51×5411

Prime Factorization of 8120


2 8120
2 4060
2 2030
5 1015
7 203
29 29
1

Prime factors of 8120 are 2,5,7,29. Prime factorization of 8120 in exponential form is:

8120 = 23×51×71×291

∴ So by taking common prime factors GCF of 8115 and 8120 is 5

Greatest Common Factor of 8115 and 8120 by matching factors method

Factors of 8115

List of positive integer factors of 8115 that divides 8115 without a remainder.

1,3,5,15,541,1623,2705,8115

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120

Greatest Common Factor

We found the factors and prime factorization of 8115 and 8120. The biggest common factor number is the GCF number.
So the greatest common factor 8115 and 8120 is 5.

Also check out the Least Common Multiple of 8115 and 8120

Properties of GCF 8115 and 8120

(i) The GCF of 8115 and 8120 is associative

GCF of 8115 and 8120 = GCF of 8120 and 8115

Related Greatest Common Factor of 8115

Related Greatest Common Factor of 8120

Frequently Asked Questions on GCF of 8115 and 8120

1. What is the GCF of 8115 and 8120?

Answer: GCF of 8115 and 8120 is 5.

2. What are the Factors of 8115?

Answer: Factors of 8115 are 1, 3, 5, 15, 541, 1623, 2705, 8115. There are 8 integers that are factors of 8115. The greatest factor of 8115 is 8115.

3. What are the Factors of 8120?

Answer: Factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120. There are 32 integers that are factors of 8120. The greatest factor of 8120 is 8120.

4. How to Find the GCF of 8115 and 8120?

Answer:

Greatest Common Factor of 8115 and 8120 = 5

Step 1: Find the prime factorization of 8115

8115 = 3 x 5 x 541

Step 2: Find the prime factorization of 8120

8120 = 2 x 2 x 2 x 5 x 7 x 29

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 8115 and 8120 is 5