# What is the Greatest Common Factor of 33 and 45?

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

GCF(33,45) = 3

We will now calculate the prime factors of 33 and 45, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33 and 45.

GCF Calculator and
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## How to find the GCF of 33 and 45?

We will first find the prime factorization of 33 and 45. After we will calculate the factors of 33 and 45 and find the biggest common factor number .

### Step-1: Prime Factorization of 33

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

33 = 31 × 111

### Step-2: Prime Factorization of 45

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

45 = 32 × 51

### Step-3: Factors of 33

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

1, 3, 11

### Step-4: Factors of 45

List of positive integer factors of 45 that divides 33 without a remainder.

1, 3, 5, 9, 15

#### Final Step: Biggest Common Factor Number

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

#### Related Greatest Common Factors of 45

##### Recent Comments
jayden oswald 2020-02-14 10:57:01

this skiped one of my three numbers

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