Greatest Common Factor of 3132 and 3133

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 3132, 3133 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3132 and 3133 is 1.

GCF(3132,3133) = 1

GCF of 3132 and 3133

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

GCF of:
and

Greatest Common Factor of 3132 and 3133

GCF of 3132 and 3133 is 1

Prime Factorization of 3132


2 3132
2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 3132 are 2,3,29. Prime factorization of 3132 in exponential form is:

3132 = 22×33×291

Prime Factorization of 3133


13 3133
241 241
1

Prime factors of 3133 are 13,241. Prime factorization of 3133 in exponential form is:

3133 = 131×2411

∴ So by taking common prime factors GCF of 3132 and 3133 is 1

Greatest Common Factor of 3132 and 3133 by matching factors method

Factors of 3132

List of positive integer factors of 3132 that divides 3132 without a remainder.

1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132

Factors of 3133

List of positive integer factors of 3133 that divides 3133 without a remainder.

1,13,241,3133

Greatest Common Factor

We found the factors and prime factorization of 3132 and 3133. The biggest common factor number is the GCF number.
So the greatest common factor 3132 and 3133 is 1.

Also check out the Least Common Multiple of 3132 and 3133

Properties of GCF 3132 and 3133

(i) The GCF of 3132 and 3133 is associative

GCF of 3132 and 3133 = GCF of 3133 and 3132

Related Greatest Common Factor of 3132

Related Greatest Common Factor of 3133

Frequently Asked Questions on GCF of 3132 and 3133

1. What is the GCF of 3132 and 3133?

Answer: GCF of 3132 and 3133 is 1.

2. What are the Factors of 3132?

Answer: Factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132. There are 24 integers that are factors of 3132. The greatest factor of 3132 is 3132.

3. What are the Factors of 3133?

Answer: Factors of 3133 are 1, 13, 241, 3133. There are 4 integers that are factors of 3133. The greatest factor of 3133 is 3133.

4. How to Find the GCF of 3132 and 3133?

Answer:

Greatest Common Factor of 3132 and 3133 = 1

Step 1: Find the prime factorization of 3132

3132 = 2 x 2 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 3133

3133 = 13 x 241

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 3132 and 3133 is 1