Greatest Common Factor of 2121 and 2127

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 2121, 2127 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2121 and 2127 is 3.

GCF(2121,2127) = 3

GCF of 2121 and 2127

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

GCF of:
and

Greatest Common Factor of 2121 and 2127

GCF of 2121 and 2127 is 3

Prime Factorization of 2121


3 2121
7 707
101 101
1

Prime factors of 2121 are 3,7,101. Prime factorization of 2121 in exponential form is:

2121 = 31×71×1011

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

∴ So by taking common prime factors GCF of 2121 and 2127 is 3

Greatest Common Factor of 2121 and 2127 by matching factors method

Factors of 2121

List of positive integer factors of 2121 that divides 2121 without a remainder.

1,3,7,21,101,303,707,2121

Factors of 2127

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

1,3,709,2127

Greatest Common Factor

We found the factors and prime factorization of 2121 and 2127. The biggest common factor number is the GCF number.
So the greatest common factor 2121 and 2127 is 3.

Also check out the Least Common Multiple of 2121 and 2127

Properties of GCF 2121 and 2127

(i) The GCF of 2121 and 2127 is associative

GCF of 2121 and 2127 = GCF of 2127 and 2121

Related Greatest Common Factor of 2121

Related Greatest Common Factor of 2127

Frequently Asked Questions on GCF of 2121 and 2127

1. What is the GCF of 2121 and 2127?

Answer: GCF of 2121 and 2127 is 3.

2. What are the Factors of 2121?

Answer: Factors of 2121 are 1, 3, 7, 21, 101, 303, 707, 2121. There are 8 integers that are factors of 2121. The greatest factor of 2121 is 2121.

3. 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.

4. How to Find the GCF of 2121 and 2127?

Answer:

Greatest Common Factor of 2121 and 2127 = 3

Step 1: Find the prime factorization of 2121

2121 = 3 x 7 x 101

Step 2: Find the prime factorization of 2127

2127 = 3 x 709

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 2121 and 2127 is 3