Greatest Common Factor of 1332 and 1335

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 1332, 1335 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1332 and 1335 is 3.

GCF(1332,1335) = 3

GCF of 1332 and 1335

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

GCF of:
and

Greatest Common Factor of 1332 and 1335

GCF of 1332 and 1335 is 3

Prime Factorization of 1332


2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 1332 are 2,3,37. Prime factorization of 1332 in exponential form is:

1332 = 22×32×371

Prime Factorization of 1335


3 1335
5 445
89 89
1

Prime factors of 1335 are 3,5,89. Prime factorization of 1335 in exponential form is:

1335 = 31×51×891

∴ So by taking common prime factors GCF of 1332 and 1335 is 3

Greatest Common Factor of 1332 and 1335 by matching factors method

Factors of 1332

List of positive integer factors of 1332 that divides 1332 without a remainder.

1,2,3,4,6,9,12,18,36,37,74,111,148,222,333,444,666,1332

Factors of 1335

List of positive integer factors of 1335 that divides 1335 without a remainder.

1,3,5,15,89,267,445,1335

Greatest Common Factor

We found the factors and prime factorization of 1332 and 1335. The biggest common factor number is the GCF number.
So the greatest common factor 1332 and 1335 is 3.

Also check out the Least Common Multiple of 1332 and 1335

Properties of GCF 1332 and 1335

(i) The GCF of 1332 and 1335 is associative

GCF of 1332 and 1335 = GCF of 1335 and 1332

Related Greatest Common Factor of 1332

Related Greatest Common Factor of 1335

Frequently Asked Questions on GCF of 1332 and 1335

1. What is the GCF of 1332 and 1335?

Answer: GCF of 1332 and 1335 is 3.

2. What are the Factors of 1332?

Answer: Factors of 1332 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332. There are 18 integers that are factors of 1332. The greatest factor of 1332 is 1332.

3. What are the Factors of 1335?

Answer: Factors of 1335 are 1, 3, 5, 15, 89, 267, 445, 1335. There are 8 integers that are factors of 1335. The greatest factor of 1335 is 1335.

4. How to Find the GCF of 1332 and 1335?

Answer:

Greatest Common Factor of 1332 and 1335 = 3

Step 1: Find the prime factorization of 1332

1332 = 2 x 2 x 3 x 3 x 37

Step 2: Find the prime factorization of 1335

1335 = 3 x 5 x 89

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 1332 and 1335 is 3