Greatest Common Factor of 9625 and 9629

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 9625, 9629 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9625 and 9629 is 1.

GCF(9625,9629) = 1

GCF of 9625 and 9629

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

GCF of:
and

Greatest Common Factor of 9625 and 9629

GCF of 9625 and 9629 is 1

Prime Factorization of 9625


5 9625
5 1925
5 385
7 77
11 11
1

Prime factors of 9625 are 5,7,11. Prime factorization of 9625 in exponential form is:

9625 = 53×71×111

Prime Factorization of 9629


9629 9629
1

Prime factors of 9629 are 9629. Prime factorization of 9629 in exponential form is:

9629 = 96291

∴ So by taking common prime factors GCF of 9625 and 9629 is 1

Greatest Common Factor of 9625 and 9629 by matching factors method

Factors of 9625

List of positive integer factors of 9625 that divides 9625 without a remainder.

1,5,7,11,25,35,55,77,125,175,275,385,875,1375,1925,9625

Factors of 9629

List of positive integer factors of 9629 that divides 9629 without a remainder.

1,9629

Greatest Common Factor

We found the factors and prime factorization of 9625 and 9629. The biggest common factor number is the GCF number.
So the greatest common factor 9625 and 9629 is 1.

Also check out the Least Common Multiple of 9625 and 9629

Properties of GCF 9625 and 9629

(i) The GCF of 9625 and 9629 is associative

GCF of 9625 and 9629 = GCF of 9629 and 9625

Related Greatest Common Factor of 9625

Related Greatest Common Factor of 9629

Frequently Asked Questions on GCF of 9625 and 9629

1. What is the GCF of 9625 and 9629?

Answer: GCF of 9625 and 9629 is 1.

2. What are the Factors of 9625?

Answer: Factors of 9625 are 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625. There are 16 integers that are factors of 9625. The greatest factor of 9625 is 9625.

3. What are the Factors of 9629?

Answer: Factors of 9629 are 1, 9629. There are 2 integers that are factors of 9629. The greatest factor of 9629 is 9629.

4. How to Find the GCF of 9625 and 9629?

Answer:

Greatest Common Factor of 9625 and 9629 = 1

Step 1: Find the prime factorization of 9625

9625 = 5 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 9629

9629 = 9629

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 9625 and 9629 is 1