Greatest Common Factor of 8627 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 8627, 8631 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8627 and 8631 is 1.

GCF(8627,8631) = 1

GCF of 8627 and 8631

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

GCF of:
and

Greatest Common Factor of 8627 and 8631

GCF of 8627 and 8631 is 1

Prime Factorization of 8627


8627 8627
1

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

8627 = 86271

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 8627 and 8631 is 1

Greatest Common Factor of 8627 and 8631 by matching factors method

Factors of 8627

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

1,8627

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 8627 and 8631. The biggest common factor number is the GCF number.
So the greatest common factor 8627 and 8631 is 1.

Also check out the Least Common Multiple of 8627 and 8631

Properties of GCF 8627 and 8631

(i) The GCF of 8627 and 8631 is associative

GCF of 8627 and 8631 = GCF of 8631 and 8627

Related Greatest Common Factor of 8627

Related Greatest Common Factor of 8631

Frequently Asked Questions on GCF of 8627 and 8631

1. What is the GCF of 8627 and 8631?

Answer: GCF of 8627 and 8631 is 1.

2. 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.

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 8627 and 8631?

Answer:

Greatest Common Factor of 8627 and 8631 = 1

Step 1: Find the prime factorization of 8627

8627 = 8627

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 8627 and 8631 is 1