Greatest Common Factor of 33 and 45

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 33, 45 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33 and 45 is 3.

GCF(33,45) = 3

GCF of 33 and 45

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

GCF of:
and

Greatest Common Factor of 33 and 45

GCF of 33 and 45 is 3

Prime Factorization of 33


3 33
11 11
1

Prime factors of 33 are 3,11. Prime factorization of 33 in exponential form is:

33 = 31×111

Prime Factorization of 45


3 45
3 15
5 5
1

Prime factors of 45 are 3,5. Prime factorization of 45 in exponential form is:

45 = 32×51

∴ So by taking common prime factors GCF of 33 and 45 is 3

Greatest Common Factor of 33 and 45 by matching factors method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors and prime factorization of 33 and 45. The biggest common factor number is the GCF number.
So the greatest common factor 33 and 45 is 3.

Also check out the Least Common Multiple of 33 and 45

Properties of GCF 33 and 45

(i) The GCF of 33 and 45 is associative

GCF of 33 and 45 = GCF of 45 and 33

Related Greatest Common Factor of 33

Related Greatest Common Factor of 45

Frequently Asked Questions on GCF of 33 and 45

1. What is the GCF of 33 and 45?

Answer: GCF of 33 and 45 is 3.

2. What are the Factors of 33?

Answer: Factors of 33 are 1, 3, 11, 33. There are 4 integers that are factors of 33. The greatest factor of 33 is 33.

3. What are the Factors of 45?

Answer: Factors of 45 are 1, 3, 5, 9, 15, 45. There are 6 integers that are factors of 45. The greatest factor of 45 is 45.

4. How to Find the GCF of 33 and 45?

Answer:

Greatest Common Factor of 33 and 45 = 3

Step 1: Find the prime factorization of 33

33 = 3 x 11

Step 2: Find the prime factorization of 45

45 = 3 x 3 x 5

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 33 and 45 is 3