Greatest Common Factor of 8620 and 8625

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 8620, 8625 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8620 and 8625 is 5.

GCF(8620,8625) = 5

GCF of 8620 and 8625

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

GCF of:
and

Greatest Common Factor of 8620 and 8625

GCF of 8620 and 8625 is 5

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

Prime Factorization of 8625


3 8625
5 2875
5 575
5 115
23 23
1

Prime factors of 8625 are 3,5,23. Prime factorization of 8625 in exponential form is:

8625 = 31×53×231

∴ So by taking common prime factors GCF of 8620 and 8625 is 5

Greatest Common Factor of 8620 and 8625 by matching factors method

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

Factors of 8625

List of positive integer factors of 8625 that divides 8625 without a remainder.

1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625

Greatest Common Factor

We found the factors and prime factorization of 8620 and 8625. The biggest common factor number is the GCF number.
So the greatest common factor 8620 and 8625 is 5.

Also check out the Least Common Multiple of 8620 and 8625

Properties of GCF 8620 and 8625

(i) The GCF of 8620 and 8625 is associative

GCF of 8620 and 8625 = GCF of 8625 and 8620

Related Greatest Common Factor of 8620

Related Greatest Common Factor of 8625

Frequently Asked Questions on GCF of 8620 and 8625

1. What is the GCF of 8620 and 8625?

Answer: GCF of 8620 and 8625 is 5.

2. 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.

3. What are the Factors of 8625?

Answer: Factors of 8625 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625. There are 16 integers that are factors of 8625. The greatest factor of 8625 is 8625.

4. How to Find the GCF of 8620 and 8625?

Answer:

Greatest Common Factor of 8620 and 8625 = 5

Step 1: Find the prime factorization of 8620

8620 = 2 x 2 x 5 x 431

Step 2: Find the prime factorization of 8625

8625 = 3 x 5 x 5 x 5 x 23

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 8620 and 8625 is 5