Greatest Common Factor of 8623 and 8631

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 8623, 8631 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8623 and 8631 is 1.

GCF(8623,8631) = 1

GCF of 8623 and 8631

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

GCF of:
and

Greatest Common Factor of 8623 and 8631

GCF of 8623 and 8631 is 1

Prime Factorization of 8623


8623 8623
1

Prime factors of 8623 are 8623. Prime factorization of 8623 in exponential form is:

8623 = 86231

Prime Factorization of 8631


3 8631
3 2877
7 959
137 137
1

Prime factors of 8631 are 3.Prime factorization of 8631 in exponential form is:

8631 = 32×71×1371

∴ So by taking common prime factors GCF of 8623 and 8631 is 1

Greatest Common Factor of 8623 and 8631 by matching factors method

Factors of 8623

List of positive integer factors of 8623 that divides 8623 without a remainder.

1,8623

Factors of 8631

List of positive integer factors of 8631 that divides 8631 without a remainder.

1,3,7,9,21,63,137,411,959,1233,2877,8631

Greatest Common Factor

We found the factors and prime factorization of 8623 and 8631. The biggest common factor number is the GCF number.
So the greatest common factor 8623 and 8631 is 1.

Also check out the Least Common Multiple of 8623 and 8631

Properties of GCF 8623 and 8631

(i) The GCF of 8623 and 8631 is associative

GCF of 8623 and 8631 = GCF of 8631 and 8623

Related Greatest Common Factor of 8623

Related Greatest Common Factor of 8631

Frequently Asked Questions on GCF of 8623 and 8631

1. What is the GCF of 8623 and 8631?

Answer: GCF of 8623 and 8631 is 1.

2. What are the Factors of 8623?

Answer: Factors of 8623 are 1, 8623. There are 2 integers that are factors of 8623. The greatest factor of 8623 is 8623.

3. What are the Factors of 8631?

Answer: Factors of 8631 are 1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631. There are 12 integers that are factors of 8631. The greatest factor of 8631 is 8631.

4. How to Find the GCF of 8623 and 8631?

Answer:

Greatest Common Factor of 8623 and 8631 = 1

Step 1: Find the prime factorization of 8623

8623 = 8623

Step 2: Find the prime factorization of 8631

8631 = 3 x 3 x 7 x 137

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 8623 and 8631 is 1