**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, 39 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33 and 39 is **3**.

GCF(33,39) = 3

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

**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 = 3^{1}×11^{1}

**Prime Factorization of 39**

3 | 39 |

13 | 13 |

1 |

Prime factors of 39 are 3,13. Prime factorization of **39** in exponential form is:

39 = 3^{1}×13^{1}

∴ So by taking common prime factors GCF of 33 and 39 is 3

**Factors of 33**

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

1,3,11,33

**Factors of 39**

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

**Greatest Common Factor**

We found the factors and prime factorization of 33 and 39. The biggest common factor number is the **GCF** number.

So the **greatest common factor 33 and 39** is **3**.

Also check out the Least Common Multiple of 33 and 39

(i) The GCF of 33 and 39 is associative

GCF of 33 and 39 = GCF of 39 and 33

1. What is the GCF of 33 and 39?

Answer: GCF of 33 and 39 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 39?

Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.

4. How to Find the GCF of 33 and 39?

Answer:

Greatest Common Factor of 33 and 39 = 3

Step 1: Find the prime factorization of 33

33 = 3 x 11

Step 2: Find the prime factorization of 39

39 = 3 x 13

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 39 is 3