Greatest Common Factor of 2127 and 2133

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 2127, 2133 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2127 and 2133 is 3.

GCF(2127,2133) = 3

GCF of 2127 and 2133

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

GCF of:
and

Greatest Common Factor of 2127 and 2133

GCF of 2127 and 2133 is 3

Prime Factorization of 2127


3 2127
709 709
1

Prime factors of 2127 are 3,709. Prime factorization of 2127 in exponential form is:

2127 = 31×7091

Prime Factorization of 2133


3 2133
3 711
3 237
79 79
1

Prime factors of 2133 are 3,79. Prime factorization of 2133 in exponential form is:

2133 = 33×791

∴ So by taking common prime factors GCF of 2127 and 2133 is 3

Greatest Common Factor of 2127 and 2133 by matching factors method

Factors of 2127

List of positive integer factors of 2127 that divides 2127 without a remainder.

1,3,709,2127

Factors of 2133

List of positive integer factors of 2133 that divides 2133 without a remainder.

1,3,9,27,79,237,711,2133

Greatest Common Factor

We found the factors and prime factorization of 2127 and 2133. The biggest common factor number is the GCF number.
So the greatest common factor 2127 and 2133 is 3.

Also check out the Least Common Multiple of 2127 and 2133

Properties of GCF 2127 and 2133

(i) The GCF of 2127 and 2133 is associative

GCF of 2127 and 2133 = GCF of 2133 and 2127

Related Greatest Common Factor of 2127

Related Greatest Common Factor of 2133

Frequently Asked Questions on GCF of 2127 and 2133

1. What is the GCF of 2127 and 2133?

Answer: GCF of 2127 and 2133 is 3.

2. What are the Factors of 2127?

Answer: Factors of 2127 are 1, 3, 709, 2127. There are 4 integers that are factors of 2127. The greatest factor of 2127 is 2127.

3. What are the Factors of 2133?

Answer: Factors of 2133 are 1, 3, 9, 27, 79, 237, 711, 2133. There are 8 integers that are factors of 2133. The greatest factor of 2133 is 2133.

4. How to Find the GCF of 2127 and 2133?

Answer:

Greatest Common Factor of 2127 and 2133 = 3

Step 1: Find the prime factorization of 2127

2127 = 3 x 709

Step 2: Find the prime factorization of 2133

2133 = 3 x 3 x 3 x 79

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2127 and 2133 is 3