Greatest Common Factor of 4125 and 4126

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 4125, 4126 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4125 and 4126 is 1.

GCF(4125,4126) = 1

GCF of 4125 and 4126

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

GCF of:
and

Greatest Common Factor of 4125 and 4126

GCF of 4125 and 4126 is 1

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

Prime Factorization of 4126


2 4126
2063 2063
1

Prime factors of 4126 are 2,2063. Prime factorization of 4126 in exponential form is:

4126 = 21×20631

∴ So by taking common prime factors GCF of 4125 and 4126 is 1

Greatest Common Factor of 4125 and 4126 by matching factors method

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

Factors of 4126

List of positive integer factors of 4126 that divides 4126 without a remainder.

1,2,2063,4126

Greatest Common Factor

We found the factors and prime factorization of 4125 and 4126. The biggest common factor number is the GCF number.
So the greatest common factor 4125 and 4126 is 1.

Also check out the Least Common Multiple of 4125 and 4126

Properties of GCF 4125 and 4126

(i) The GCF of 4125 and 4126 is associative

GCF of 4125 and 4126 = GCF of 4126 and 4125

Related Greatest Common Factor of 4125

Related Greatest Common Factor of 4126

Frequently Asked Questions on GCF of 4125 and 4126

1. What is the GCF of 4125 and 4126?

Answer: GCF of 4125 and 4126 is 1.

2. 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.

3. What are the Factors of 4126?

Answer: Factors of 4126 are 1, 2, 2063, 4126. There are 4 integers that are factors of 4126. The greatest factor of 4126 is 4126.

4. How to Find the GCF of 4125 and 4126?

Answer:

Greatest Common Factor of 4125 and 4126 = 1

Step 1: Find the prime factorization of 4125

4125 = 3 x 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 4126

4126 = 2 x 2063

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 4125 and 4126 is 1