Greatest Common Factor of 4120 and 4125

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 4120, 4125 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4120 and 4125 is 5.

GCF(4120,4125) = 5

GCF of 4120 and 4125

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

GCF of:
and

Greatest Common Factor of 4120 and 4125

GCF of 4120 and 4125 is 5

Prime Factorization of 4120


2 4120
2 2060
2 1030
5 515
103 103
1

Prime factors of 4120 are 2,5,103. Prime factorization of 4120 in exponential form is:

4120 = 23×51×1031

Prime Factorization of 4125


3 4125
5 1375
5 275
5 55
11 11
1

Prime factors of 4125 are 3,5,11. Prime factorization of 4125 in exponential form is:

4125 = 31×53×111

∴ So by taking common prime factors GCF of 4120 and 4125 is 5

Greatest Common Factor of 4120 and 4125 by matching factors method

Factors of 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125

Greatest Common Factor

We found the factors and prime factorization of 4120 and 4125. The biggest common factor number is the GCF number.
So the greatest common factor 4120 and 4125 is 5.

Also check out the Least Common Multiple of 4120 and 4125

Properties of GCF 4120 and 4125

(i) The GCF of 4120 and 4125 is associative

GCF of 4120 and 4125 = GCF of 4125 and 4120

Related Greatest Common Factor of 4120

Related Greatest Common Factor of 4125

Frequently Asked Questions on GCF of 4120 and 4125

1. What is the GCF of 4120 and 4125?

Answer: GCF of 4120 and 4125 is 5.

2. What are the Factors of 4120?

Answer: Factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120. There are 16 integers that are factors of 4120. The greatest factor of 4120 is 4120.

3. What are the Factors of 4125?

Answer: Factors of 4125 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125. There are 16 integers that are factors of 4125. The greatest factor of 4125 is 4125.

4. How to Find the GCF of 4120 and 4125?

Answer:

Greatest Common Factor of 4120 and 4125 = 5

Step 1: Find the prime factorization of 4120

4120 = 2 x 2 x 2 x 5 x 103

Step 2: Find the prime factorization of 4125

4125 = 3 x 5 x 5 x 5 x 11

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 4120 and 4125 is 5