Greatest Common Factor of 8321 and 8325

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 8321, 8325 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8321 and 8325 is 1.

GCF(8321,8325) = 1

GCF of 8321 and 8325

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

GCF of:
and

Greatest Common Factor of 8321 and 8325

GCF of 8321 and 8325 is 1

Prime Factorization of 8321


53 8321
157 157
1

Prime factors of 8321 are 53,157. Prime factorization of 8321 in exponential form is:

8321 = 531×1571

Prime Factorization of 8325


3 8325
3 2775
5 925
5 185
37 37
1

Prime factors of 8325 are 3,5,37. Prime factorization of 8325 in exponential form is:

8325 = 32×52×371

∴ So by taking common prime factors GCF of 8321 and 8325 is 1

Greatest Common Factor of 8321 and 8325 by matching factors method

Factors of 8321

List of positive integer factors of 8321 that divides 8321 without a remainder.

1,53,157,8321

Factors of 8325

List of positive integer factors of 8325 that divides 8325 without a remainder.

1,3,5,9,15,25,37,45,75,111,185,225,333,555,925,1665,2775,8325

Greatest Common Factor

We found the factors and prime factorization of 8321 and 8325. The biggest common factor number is the GCF number.
So the greatest common factor 8321 and 8325 is 1.

Also check out the Least Common Multiple of 8321 and 8325

Properties of GCF 8321 and 8325

(i) The GCF of 8321 and 8325 is associative

GCF of 8321 and 8325 = GCF of 8325 and 8321

Related Greatest Common Factor of 8321

Related Greatest Common Factor of 8325

Frequently Asked Questions on GCF of 8321 and 8325

1. What is the GCF of 8321 and 8325?

Answer: GCF of 8321 and 8325 is 1.

2. What are the Factors of 8321?

Answer: Factors of 8321 are 1, 53, 157, 8321. There are 4 integers that are factors of 8321. The greatest factor of 8321 is 8321.

3. What are the Factors of 8325?

Answer: Factors of 8325 are 1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325. There are 18 integers that are factors of 8325. The greatest factor of 8325 is 8325.

4. How to Find the GCF of 8321 and 8325?

Answer:

Greatest Common Factor of 8321 and 8325 = 1

Step 1: Find the prime factorization of 8321

8321 = 53 x 157

Step 2: Find the prime factorization of 8325

8325 = 3 x 3 x 5 x 5 x 37

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 8321 and 8325 is 1