Greatest Common Factor of 8625 and 8626

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 8625, 8626 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8625 and 8626 is 1.

GCF(8625,8626) = 1

GCF of 8625 and 8626

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

GCF of:
and

Greatest Common Factor of 8625 and 8626

GCF of 8625 and 8626 is 1

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

Prime Factorization of 8626


2 8626
19 4313
227 227
1

Prime factors of 8626 are 2,19,227. Prime factorization of 8626 in exponential form is:

8626 = 21×191×2271

∴ So by taking common prime factors GCF of 8625 and 8626 is 1

Greatest Common Factor of 8625 and 8626 by matching factors method

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

Factors of 8626

List of positive integer factors of 8626 that divides 8626 without a remainder.

1,2,19,38,227,454,4313,8626

Greatest Common Factor

We found the factors and prime factorization of 8625 and 8626. The biggest common factor number is the GCF number.
So the greatest common factor 8625 and 8626 is 1.

Also check out the Least Common Multiple of 8625 and 8626

Properties of GCF 8625 and 8626

(i) The GCF of 8625 and 8626 is associative

GCF of 8625 and 8626 = GCF of 8626 and 8625

Related Greatest Common Factor of 8625

Related Greatest Common Factor of 8626

Frequently Asked Questions on GCF of 8625 and 8626

1. What is the GCF of 8625 and 8626?

Answer: GCF of 8625 and 8626 is 1.

2. 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.

3. What are the Factors of 8626?

Answer: Factors of 8626 are 1, 2, 19, 38, 227, 454, 4313, 8626. There are 8 integers that are factors of 8626. The greatest factor of 8626 is 8626.

4. How to Find the GCF of 8625 and 8626?

Answer:

Greatest Common Factor of 8625 and 8626 = 1

Step 1: Find the prime factorization of 8625

8625 = 3 x 5 x 5 x 5 x 23

Step 2: Find the prime factorization of 8626

8626 = 2 x 19 x 227

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 8625 and 8626 is 1