Greatest Common Factor of 2132 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 2132, 2133 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2132 and 2133 is 1.

GCF(2132,2133) = 1

GCF of 2132 and 2133

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

GCF of:
and

Greatest Common Factor of 2132 and 2133

GCF of 2132 and 2133 is 1

Prime Factorization of 2132


2 2132
2 1066
13 533
41 41
1

Prime factors of 2132 are 2,13,41. Prime factorization of 2132 in exponential form is:

2132 = 22×131×411

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 2132 and 2133 is 1

Greatest Common Factor of 2132 and 2133 by matching factors method

Factors of 2132

List of positive integer factors of 2132 that divides 2132 without a remainder.

1,2,4,13,26,41,52,82,164,533,1066,2132

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 2132 and 2133. The biggest common factor number is the GCF number.
So the greatest common factor 2132 and 2133 is 1.

Also check out the Least Common Multiple of 2132 and 2133

Properties of GCF 2132 and 2133

(i) The GCF of 2132 and 2133 is associative

GCF of 2132 and 2133 = GCF of 2133 and 2132

Related Greatest Common Factor of 2132

Related Greatest Common Factor of 2133

Frequently Asked Questions on GCF of 2132 and 2133

1. What is the GCF of 2132 and 2133?

Answer: GCF of 2132 and 2133 is 1.

2. What are the Factors of 2132?

Answer: Factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132. There are 12 integers that are factors of 2132. The greatest factor of 2132 is 2132.

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 2132 and 2133?

Answer:

Greatest Common Factor of 2132 and 2133 = 1

Step 1: Find the prime factorization of 2132

2132 = 2 x 2 x 13 x 41

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 = = 1

Step 4: Therefore, the greatest common factor of 2132 and 2133 is 1