Greatest Common Factor of 8621 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 8621, 8625 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8621 and 8625 is 1.

GCF(8621,8625) = 1

GCF of 8621 and 8625

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

GCF of:
and

Greatest Common Factor of 8621 and 8625

GCF of 8621 and 8625 is 1

Prime Factorization of 8621


37 8621
233 233
1

Prime factors of 8621 are 37,233. Prime factorization of 8621 in exponential form is:

8621 = 371×2331

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 8621 and 8625 is 1

Greatest Common Factor of 8621 and 8625 by matching factors method

Factors of 8621

List of positive integer factors of 8621 that divides 8621 without a remainder.

1,37,233,8621

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 8621 and 8625. The biggest common factor number is the GCF number.
So the greatest common factor 8621 and 8625 is 1.

Also check out the Least Common Multiple of 8621 and 8625

Properties of GCF 8621 and 8625

(i) The GCF of 8621 and 8625 is associative

GCF of 8621 and 8625 = GCF of 8625 and 8621

Related Greatest Common Factor of 8621

Related Greatest Common Factor of 8625

Frequently Asked Questions on GCF of 8621 and 8625

1. What is the GCF of 8621 and 8625?

Answer: GCF of 8621 and 8625 is 1.

2. What are the Factors of 8621?

Answer: Factors of 8621 are 1, 37, 233, 8621. There are 4 integers that are factors of 8621. The greatest factor of 8621 is 8621.

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 8621 and 8625?

Answer:

Greatest Common Factor of 8621 and 8625 = 1

Step 1: Find the prime factorization of 8621

8621 = 37 x 233

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 = = 1

Step 4: Therefore, the greatest common factor of 8621 and 8625 is 1