Greatest Common Factor of 8628 and 8629

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 8628, 8629 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8628 and 8629 is 1.

GCF(8628,8629) = 1

GCF of 8628 and 8629

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

GCF of:
and

Greatest Common Factor of 8628 and 8629

GCF of 8628 and 8629 is 1

Prime Factorization of 8628


2 8628
2 4314
3 2157
719 719
1

Prime factors of 8628 are 2,3,719. Prime factorization of 8628 in exponential form is:

8628 = 22×31×7191

Prime Factorization of 8629


8629 8629
1

Prime factors of 8629 are 8629. Prime factorization of 8629 in exponential form is:

8629 = 86291

∴ So by taking common prime factors GCF of 8628 and 8629 is 1

Greatest Common Factor of 8628 and 8629 by matching factors method

Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1,2,3,4,6,12,719,1438,2157,2876,4314,8628

Factors of 8629

List of positive integer factors of 8629 that divides 8629 without a remainder.

1,8629

Greatest Common Factor

We found the factors and prime factorization of 8628 and 8629. The biggest common factor number is the GCF number.
So the greatest common factor 8628 and 8629 is 1.

Also check out the Least Common Multiple of 8628 and 8629

Properties of GCF 8628 and 8629

(i) The GCF of 8628 and 8629 is associative

GCF of 8628 and 8629 = GCF of 8629 and 8628

Related Greatest Common Factor of 8628

Related Greatest Common Factor of 8629

Frequently Asked Questions on GCF of 8628 and 8629

1. What is the GCF of 8628 and 8629?

Answer: GCF of 8628 and 8629 is 1.

2. What are the Factors of 8628?

Answer: Factors of 8628 are 1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628. There are 12 integers that are factors of 8628. The greatest factor of 8628 is 8628.

3. What are the Factors of 8629?

Answer: Factors of 8629 are 1, 8629. There are 2 integers that are factors of 8629. The greatest factor of 8629 is 8629.

4. How to Find the GCF of 8628 and 8629?

Answer:

Greatest Common Factor of 8628 and 8629 = 1

Step 1: Find the prime factorization of 8628

8628 = 2 x 2 x 3 x 719

Step 2: Find the prime factorization of 8629

8629 = 8629

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 8628 and 8629 is 1