Greatest Common Factor of 10125 and 10131

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 10125, 10131 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10125 and 10131 is 3.

GCF(10125,10131) = 3

GCF of 10125 and 10131

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

GCF of:
and

Greatest Common Factor of 10125 and 10131

GCF of 10125 and 10131 is 3

Prime Factorization of 10125


3 10125
3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 10125 are 3,5. Prime factorization of 10125 in exponential form is:

10125 = 34×53

Prime Factorization of 10131


3 10131
11 3377
307 307
1

Prime factors of 10131 are 3,11,307. Prime factorization of 10131 in exponential form is:

10131 = 31×111×3071

∴ So by taking common prime factors GCF of 10125 and 10131 is 3

Greatest Common Factor of 10125 and 10131 by matching factors method

Factors of 10125

List of positive integer factors of 10125 that divides 10125 without a remainder.

1,3,5,9,15,25,27,45,75,81,125,135,225,375,405,675,1125,2025,3375,10125

Factors of 10131

List of positive integer factors of 10131 that divides 10131 without a remainder.

1,3,11,33,307,921,3377,10131

Greatest Common Factor

We found the factors and prime factorization of 10125 and 10131. The biggest common factor number is the GCF number.
So the greatest common factor 10125 and 10131 is 3.

Also check out the Least Common Multiple of 10125 and 10131

Properties of GCF 10125 and 10131

(i) The GCF of 10125 and 10131 is associative

GCF of 10125 and 10131 = GCF of 10131 and 10125

Related Greatest Common Factor of 10125

Related Greatest Common Factor of 10131

Frequently Asked Questions on GCF of 10125 and 10131

1. What is the GCF of 10125 and 10131?

Answer: GCF of 10125 and 10131 is 3.

2. What are the Factors of 10125?

Answer: Factors of 10125 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 375, 405, 675, 1125, 2025, 3375, 10125. There are 20 integers that are factors of 10125. The greatest factor of 10125 is 10125.

3. What are the Factors of 10131?

Answer: Factors of 10131 are 1, 3, 11, 33, 307, 921, 3377, 10131. There are 8 integers that are factors of 10131. The greatest factor of 10131 is 10131.

4. How to Find the GCF of 10125 and 10131?

Answer:

Greatest Common Factor of 10125 and 10131 = 3

Step 1: Find the prime factorization of 10125

10125 = 3 x 3 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 10131

10131 = 3 x 11 x 307

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 10125 and 10131 is 3