Greatest Common Factor of 8625 and 8627

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, 8627 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8625 and 8627 is 1.

GCF(8625,8627) = 1

GCF of 8625 and 8627

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

GCF of:
and

Greatest Common Factor of 8625 and 8627

GCF of 8625 and 8627 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 8627


8627 8627
1

Prime factors of 8627 are 8627. Prime factorization of 8627 in exponential form is:

8627 = 86271

∴ So by taking common prime factors GCF of 8625 and 8627 is 1

Greatest Common Factor of 8625 and 8627 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 8627

List of positive integer factors of 8627 that divides 8627 without a remainder.

1,8627

Greatest Common Factor

We found the factors and prime factorization of 8625 and 8627. The biggest common factor number is the GCF number.
So the greatest common factor 8625 and 8627 is 1.

Also check out the Least Common Multiple of 8625 and 8627

Properties of GCF 8625 and 8627

(i) The GCF of 8625 and 8627 is associative

GCF of 8625 and 8627 = GCF of 8627 and 8625

Related Greatest Common Factor of 8625

Related Greatest Common Factor of 8627

Frequently Asked Questions on GCF of 8625 and 8627

1. What is the GCF of 8625 and 8627?

Answer: GCF of 8625 and 8627 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 8627?

Answer: Factors of 8627 are 1, 8627. There are 2 integers that are factors of 8627. The greatest factor of 8627 is 8627.

4. How to Find the GCF of 8625 and 8627?

Answer:

Greatest Common Factor of 8625 and 8627 = 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 8627

8627 = 8627

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 8627 is 1