Greatest Common Factor of 9125 and 9129

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 9125, 9129 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9125 and 9129 is 1.

GCF(9125,9129) = 1

GCF of 9125 and 9129

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

GCF of:
and

Greatest Common Factor of 9125 and 9129

GCF of 9125 and 9129 is 1

Prime Factorization of 9125


5 9125
5 1825
5 365
73 73
1

Prime factors of 9125 are 5,73. Prime factorization of 9125 in exponential form is:

9125 = 53×731

Prime Factorization of 9129


3 9129
17 3043
179 179
1

Prime factors of 9129 are 3,17,179. Prime factorization of 9129 in exponential form is:

9129 = 31×171×1791

∴ So by taking common prime factors GCF of 9125 and 9129 is 1

Greatest Common Factor of 9125 and 9129 by matching factors method

Factors of 9125

List of positive integer factors of 9125 that divides 9125 without a remainder.

1,5,25,73,125,365,1825,9125

Factors of 9129

List of positive integer factors of 9129 that divides 9129 without a remainder.

1,3,17,51,179,537,3043,9129

Greatest Common Factor

We found the factors and prime factorization of 9125 and 9129. The biggest common factor number is the GCF number.
So the greatest common factor 9125 and 9129 is 1.

Also check out the Least Common Multiple of 9125 and 9129

Properties of GCF 9125 and 9129

(i) The GCF of 9125 and 9129 is associative

GCF of 9125 and 9129 = GCF of 9129 and 9125

Related Greatest Common Factor of 9125

Related Greatest Common Factor of 9129

Frequently Asked Questions on GCF of 9125 and 9129

1. What is the GCF of 9125 and 9129?

Answer: GCF of 9125 and 9129 is 1.

2. What are the Factors of 9125?

Answer: Factors of 9125 are 1, 5, 25, 73, 125, 365, 1825, 9125. There are 8 integers that are factors of 9125. The greatest factor of 9125 is 9125.

3. What are the Factors of 9129?

Answer: Factors of 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129. There are 8 integers that are factors of 9129. The greatest factor of 9129 is 9129.

4. How to Find the GCF of 9125 and 9129?

Answer:

Greatest Common Factor of 9125 and 9129 = 1

Step 1: Find the prime factorization of 9125

9125 = 5 x 5 x 5 x 73

Step 2: Find the prime factorization of 9129

9129 = 3 x 17 x 179

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 9125 and 9129 is 1