Greatest Common Factor of 8626 and 8633

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 8626, 8633 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8626 and 8633 is 1.

GCF(8626,8633) = 1

GCF of 8626 and 8633

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

GCF of:
and

Greatest Common Factor of 8626 and 8633

GCF of 8626 and 8633 is 1

Prime Factorization of 8626


2 8626
19 4313
227 227
1

Prime factors of 8626 are 2,19,227. Prime factorization of 8626 in exponential form is:

8626 = 21×191×2271

Prime Factorization of 8633


89 8633
97 97
1

Prime factors of 8633 are 89,97. Prime factorization of 8633 in exponential form is:

8633 = 891×971

∴ So by taking common prime factors GCF of 8626 and 8633 is 1

Greatest Common Factor of 8626 and 8633 by matching factors method

Factors of 8626

List of positive integer factors of 8626 that divides 8626 without a remainder.

1,2,19,38,227,454,4313,8626

Factors of 8633

List of positive integer factors of 8633 that divides 8633 without a remainder.

1,89,97,8633

Greatest Common Factor

We found the factors and prime factorization of 8626 and 8633. The biggest common factor number is the GCF number.
So the greatest common factor 8626 and 8633 is 1.

Also check out the Least Common Multiple of 8626 and 8633

Properties of GCF 8626 and 8633

(i) The GCF of 8626 and 8633 is associative

GCF of 8626 and 8633 = GCF of 8633 and 8626

Related Greatest Common Factor of 8626

Related Greatest Common Factor of 8633

Frequently Asked Questions on GCF of 8626 and 8633

1. What is the GCF of 8626 and 8633?

Answer: GCF of 8626 and 8633 is 1.

2. What are the Factors of 8626?

Answer: Factors of 8626 are 1, 2, 19, 38, 227, 454, 4313, 8626. There are 8 integers that are factors of 8626. The greatest factor of 8626 is 8626.

3. What are the Factors of 8633?

Answer: Factors of 8633 are 1, 89, 97, 8633. There are 4 integers that are factors of 8633. The greatest factor of 8633 is 8633.

4. How to Find the GCF of 8626 and 8633?

Answer:

Greatest Common Factor of 8626 and 8633 = 1

Step 1: Find the prime factorization of 8626

8626 = 2 x 19 x 227

Step 2: Find the prime factorization of 8633

8633 = 89 x 97

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 8626 and 8633 is 1