Greatest Common Factor of 8613 and 8621

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 8613, 8621 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8613 and 8621 is 1.

GCF(8613,8621) = 1

GCF of 8613 and 8621

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

GCF of:
and

Greatest Common Factor of 8613 and 8621

GCF of 8613 and 8621 is 1

Prime Factorization of 8613


3 8613
3 2871
3 957
11 319
29 29
1

Prime factors of 8613 are 3,11,29. Prime factorization of 8613 in exponential form is:

8613 = 33×111×291

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

∴ So by taking common prime factors GCF of 8613 and 8621 is 1

Greatest Common Factor of 8613 and 8621 by matching factors method

Factors of 8613

List of positive integer factors of 8613 that divides 8613 without a remainder.

1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613

Factors of 8621

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

1,37,233,8621

Greatest Common Factor

We found the factors and prime factorization of 8613 and 8621. The biggest common factor number is the GCF number.
So the greatest common factor 8613 and 8621 is 1.

Also check out the Least Common Multiple of 8613 and 8621

Properties of GCF 8613 and 8621

(i) The GCF of 8613 and 8621 is associative

GCF of 8613 and 8621 = GCF of 8621 and 8613

Frequently Asked Questions on GCF of 8613 and 8621

1. What is the GCF of 8613 and 8621?

Answer: GCF of 8613 and 8621 is 1.

2. What are the Factors of 8613?

Answer: Factors of 8613 are 1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613. There are 16 integers that are factors of 8613. The greatest factor of 8613 is 8613.

3. 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.

4. How to Find the GCF of 8613 and 8621?

Answer:

Greatest Common Factor of 8613 and 8621 = 1

Step 1: Find the prime factorization of 8613

8613 = 3 x 3 x 3 x 11 x 29

Step 2: Find the prime factorization of 8621

8621 = 37 x 233

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 8613 and 8621 is 1