Greatest Common Factor of 10125 and 10132

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, 10132 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10125 and 10132 is 1.

GCF(10125,10132) = 1

GCF of 10125 and 10132

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

GCF of:
and

Greatest Common Factor of 10125 and 10132

GCF of 10125 and 10132 is 1

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 10132


2 10132
2 5066
17 2533
149 149
1

Prime factors of 10132 are 2,17,149. Prime factorization of 10132 in exponential form is:

10132 = 22×171×1491

∴ So by taking common prime factors GCF of 10125 and 10132 is 1

Greatest Common Factor of 10125 and 10132 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 10132

List of positive integer factors of 10132 that divides 10132 without a remainder.

1,2,4,17,34,68,149,298,596,2533,5066,10132

Greatest Common Factor

We found the factors and prime factorization of 10125 and 10132. The biggest common factor number is the GCF number.
So the greatest common factor 10125 and 10132 is 1.

Also check out the Least Common Multiple of 10125 and 10132

Properties of GCF 10125 and 10132

(i) The GCF of 10125 and 10132 is associative

GCF of 10125 and 10132 = GCF of 10132 and 10125

Related Greatest Common Factor of 10125

Related Greatest Common Factor of 10132

Frequently Asked Questions on GCF of 10125 and 10132

1. What is the GCF of 10125 and 10132?

Answer: GCF of 10125 and 10132 is 1.

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 10132?

Answer: Factors of 10132 are 1, 2, 4, 17, 34, 68, 149, 298, 596, 2533, 5066, 10132. There are 12 integers that are factors of 10132. The greatest factor of 10132 is 10132.

4. How to Find the GCF of 10125 and 10132?

Answer:

Greatest Common Factor of 10125 and 10132 = 1

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 10132

10132 = 2 x 2 x 17 x 149

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 10125 and 10132 is 1