Greatest Common Factor of 8629 and 8635

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 8629, 8635 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8629 and 8635 is 1.

GCF(8629,8635) = 1

GCF of 8629 and 8635

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

GCF of:
and

Greatest Common Factor of 8629 and 8635

GCF of 8629 and 8635 is 1

Prime Factorization of 8629


8629 8629
1

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

8629 = 86291

Prime Factorization of 8635


5 8635
11 1727
157 157
1

Prime factors of 8635 are 5.Prime factorization of 8635 in exponential form is:

8635 = 51×111×1571

∴ So by taking common prime factors GCF of 8629 and 8635 is 1

Greatest Common Factor of 8629 and 8635 by matching factors method

Factors of 8629

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

1,8629

Factors of 8635

List of positive integer factors of 8635 that divides 8635 without a remainder.

1,5,11,55,157,785,1727,8635

Greatest Common Factor

We found the factors and prime factorization of 8629 and 8635. The biggest common factor number is the GCF number.
So the greatest common factor 8629 and 8635 is 1.

Also check out the Least Common Multiple of 8629 and 8635

Properties of GCF 8629 and 8635

(i) The GCF of 8629 and 8635 is associative

GCF of 8629 and 8635 = GCF of 8635 and 8629

Related Greatest Common Factor of 8629

Related Greatest Common Factor of 8635

Frequently Asked Questions on GCF of 8629 and 8635

1. What is the GCF of 8629 and 8635?

Answer: GCF of 8629 and 8635 is 1.

2. 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.

3. What are the Factors of 8635?

Answer: Factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635. There are 8 integers that are factors of 8635. The greatest factor of 8635 is 8635.

4. How to Find the GCF of 8629 and 8635?

Answer:

Greatest Common Factor of 8629 and 8635 = 1

Step 1: Find the prime factorization of 8629

8629 = 8629

Step 2: Find the prime factorization of 8635

8635 = 5 x 11 x 157

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 8629 and 8635 is 1