Greatest Common Factor of 8615 and 8620

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 8615, 8620 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8615 and 8620 is 5.

GCF(8615,8620) = 5

GCF of 8615 and 8620

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

GCF of:
and

Greatest Common Factor of 8615 and 8620

GCF of 8615 and 8620 is 5

Prime Factorization of 8615


5 8615
1723 1723
1

Prime factors of 8615 are 5,1723. Prime factorization of 8615 in exponential form is:

8615 = 51×17231

Prime Factorization of 8620


2 8620
2 4310
5 2155
431 431
1

Prime factors of 8620 are 2,5,431. Prime factorization of 8620 in exponential form is:

8620 = 22×51×4311

∴ So by taking common prime factors GCF of 8615 and 8620 is 5

Greatest Common Factor of 8615 and 8620 by matching factors method

Factors of 8615

List of positive integer factors of 8615 that divides 8615 without a remainder.

1,5,1723,8615

Factors of 8620

List of positive integer factors of 8620 that divides 8620 without a remainder.

1,2,4,5,10,20,431,862,1724,2155,4310,8620

Greatest Common Factor

We found the factors and prime factorization of 8615 and 8620. The biggest common factor number is the GCF number.
So the greatest common factor 8615 and 8620 is 5.

Also check out the Least Common Multiple of 8615 and 8620

Properties of GCF 8615 and 8620

(i) The GCF of 8615 and 8620 is associative

GCF of 8615 and 8620 = GCF of 8620 and 8615

Related Greatest Common Factor of 8615

Related Greatest Common Factor of 8620

Frequently Asked Questions on GCF of 8615 and 8620

1. What is the GCF of 8615 and 8620?

Answer: GCF of 8615 and 8620 is 5.

2. What are the Factors of 8615?

Answer: Factors of 8615 are 1, 5, 1723, 8615. There are 4 integers that are factors of 8615. The greatest factor of 8615 is 8615.

3. What are the Factors of 8620?

Answer: Factors of 8620 are 1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620. There are 12 integers that are factors of 8620. The greatest factor of 8620 is 8620.

4. How to Find the GCF of 8615 and 8620?

Answer:

Greatest Common Factor of 8615 and 8620 = 5

Step 1: Find the prime factorization of 8615

8615 = 5 x 1723

Step 2: Find the prime factorization of 8620

8620 = 2 x 2 x 5 x 431

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 8615 and 8620 is 5