Greatest Common Factor of 9125 and 9126

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, 9126 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9125 and 9126 is 1.

GCF(9125,9126) = 1

GCF of 9125 and 9126

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

GCF of:
and

Greatest Common Factor of 9125 and 9126

GCF of 9125 and 9126 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 9126


2 9126
3 4563
3 1521
3 507
13 169
13 13
1

Prime factors of 9126 are 2,3,13. Prime factorization of 9126 in exponential form is:

9126 = 21×33×132

∴ So by taking common prime factors GCF of 9125 and 9126 is 1

Greatest Common Factor of 9125 and 9126 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 9126

List of positive integer factors of 9126 that divides 9126 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126

Greatest Common Factor

We found the factors and prime factorization of 9125 and 9126. The biggest common factor number is the GCF number.
So the greatest common factor 9125 and 9126 is 1.

Also check out the Least Common Multiple of 9125 and 9126

Properties of GCF 9125 and 9126

(i) The GCF of 9125 and 9126 is associative

GCF of 9125 and 9126 = GCF of 9126 and 9125

Related Greatest Common Factor of 9125

Related Greatest Common Factor of 9126

Frequently Asked Questions on GCF of 9125 and 9126

1. What is the GCF of 9125 and 9126?

Answer: GCF of 9125 and 9126 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 9126?

Answer: Factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126. There are 24 integers that are factors of 9126. The greatest factor of 9126 is 9126.

4. How to Find the GCF of 9125 and 9126?

Answer:

Greatest Common Factor of 9125 and 9126 = 1

Step 1: Find the prime factorization of 9125

9125 = 5 x 5 x 5 x 73

Step 2: Find the prime factorization of 9126

9126 = 2 x 3 x 3 x 3 x 13 x 13

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 9126 is 1