Greatest Common Factor of 4125 and 4127

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, 4127 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4125 and 4127 is 1.

GCF(4125,4127) = 1

GCF of 4125 and 4127

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

GCF of:
and

Greatest Common Factor of 4125 and 4127

GCF of 4125 and 4127 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 4127


4127 4127
1

Prime factors of 4127 are 4127. Prime factorization of 4127 in exponential form is:

4127 = 41271

∴ So by taking common prime factors GCF of 4125 and 4127 is 1

Greatest Common Factor of 4125 and 4127 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 4127

List of positive integer factors of 4127 that divides 4127 without a remainder.

1,4127

Greatest Common Factor

We found the factors and prime factorization of 4125 and 4127. The biggest common factor number is the GCF number.
So the greatest common factor 4125 and 4127 is 1.

Also check out the Least Common Multiple of 4125 and 4127

Properties of GCF 4125 and 4127

(i) The GCF of 4125 and 4127 is associative

GCF of 4125 and 4127 = GCF of 4127 and 4125

Frequently Asked Questions on GCF of 4125 and 4127

1. What is the GCF of 4125 and 4127?

Answer: GCF of 4125 and 4127 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 4127?

Answer: Factors of 4127 are 1, 4127. There are 2 integers that are factors of 4127. The greatest factor of 4127 is 4127.

4. How to Find the GCF of 4125 and 4127?

Answer:

Greatest Common Factor of 4125 and 4127 = 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 4127

4127 = 4127

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 4127 is 1