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What is the Greatest Common Factor of 30 and 45?

Greatest common factor (GCF) of 30 and 45 is 15.

GCF(30,45) = 15

We will now calculate the prime factors of 30 and 45, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30 and 45.

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How to find the GCF of 30 and 45?

We will first find the prime factorization of 30 and 45. After we will calculate the factors of 30 and 45 and find the biggest common factor number .

Step-1: Prime Factorization of 30

Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:

30 = 21 × 31 × 51

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 30

List of positive integer factors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15

Step-4: Factors of 45

List of positive integer factors of 45 that divides 30 without a remainder.

1, 3, 5, 9, 15

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30 and 45. The biggest common factor number is the GCF number.
So the greatest common factor 30 and 45 is 15.

Also check out the Least Common Multiple of 30 and 45

Recent Comments
Cali 2020-09-29 07:53:37

It helped me with my quiz so thanks

Guest 2020-01-22 20:33:47

got the answer but i need the t-chart

Guest 2019-11-11 08:03:42

It did not really help but thx

person 2019-11-05 09:54:11

helped me on test

Lacey buchanan /school student 2019-03-04 10:58:02

I am EXTREMELY displeased with this "generator"! I specifically said common factors of thirty and forty-five and it gives me ...THIS! It was so laggy and gave me the completely wrong idea causing me to fail my homework for math !!

Georgia 2018-12-12 11:08:06

How do you get the sum

hi 2018-12-03 15:45:09

thx for the help

Jenna Malone 2018-10-15 04:04:29

Thanks this really helped!

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