Greatest Common Factor of 10120 and 10125

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 10120, 10125 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10120 and 10125 is 5.

GCF(10120,10125) = 5

GCF of 10120 and 10125

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

GCF of:
and

Greatest Common Factor of 10120 and 10125

GCF of 10120 and 10125 is 5

Prime Factorization of 10120


2 10120
2 5060
2 2530
5 1265
11 253
23 23
1

Prime factors of 10120 are 2,5,11,23. Prime factorization of 10120 in exponential form is:

10120 = 23×51×111×231

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

∴ So by taking common prime factors GCF of 10120 and 10125 is 5

Greatest Common Factor of 10120 and 10125 by matching factors method

Factors of 10120

List of positive integer factors of 10120 that divides 10120 without a remainder.

1,2,4,5,8,10,11,20,22,23,40,44,46,55,88,92,110,115,184,220,230,253,440,460,506,920,1012,1265,2024,2530,5060,10120

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

Greatest Common Factor

We found the factors and prime factorization of 10120 and 10125. The biggest common factor number is the GCF number.
So the greatest common factor 10120 and 10125 is 5.

Also check out the Least Common Multiple of 10120 and 10125

Properties of GCF 10120 and 10125

(i) The GCF of 10120 and 10125 is associative

GCF of 10120 and 10125 = GCF of 10125 and 10120

Related Greatest Common Factor of 10120

Related Greatest Common Factor of 10125

Frequently Asked Questions on GCF of 10120 and 10125

1. What is the GCF of 10120 and 10125?

Answer: GCF of 10120 and 10125 is 5.

2. What are the Factors of 10120?

Answer: Factors of 10120 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 23, 40, 44, 46, 55, 88, 92, 110, 115, 184, 220, 230, 253, 440, 460, 506, 920, 1012, 1265, 2024, 2530, 5060, 10120. There are 32 integers that are factors of 10120. The greatest factor of 10120 is 10120.

3. 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.

4. How to Find the GCF of 10120 and 10125?

Answer:

Greatest Common Factor of 10120 and 10125 = 5

Step 1: Find the prime factorization of 10120

10120 = 2 x 2 x 2 x 5 x 11 x 23

Step 2: Find the prime factorization of 10125

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

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

GCF = 5

Step 4: Therefore, the greatest common factor of 10120 and 10125 is 5