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GCF of 45 and 30

Created By : Prasanna
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Want to know what the GCF of 45 and 30 is? We will not only show you the answer but will also teach you two different methods through which you can easily find the greatest common factor of 45 and 30. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

GCF of:
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Detailed Solution to Calculate GCF of 45, 30 using Factoring

In this method, we have to list the factors of 45 and 30 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 45 are 1 , 3 , 5 , 9 , 15 , and 45

The factors of 30 are 1 , 2 , 3 , 5 , 6 , 10 , 15 , and 30


As you can see from the aforementioned lists, the largest number that is present in both lists is 15. Therefore, we can determine that the GCF of 45 and 30 is 15.


Greatest Common Factor of 45, 30 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 45 and 30 with the same prime number and keep going until the numbers can no longer be divided by the same prime number. At that point, you must stop the process and multiply the prime numbers on the left side. The result will be the greatest common factor.

3  45,   30
5  15,   10
 3,   2

From the picture, we can see that 3 and 2 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

3 x 5 = 15

Hence, the GCF of 45 and 30 is 15.

Find the GCF of 45 and 30

Given numbers are 45 and 30

To find the greatest common factor of 45 and 30

The GCF of 45 and 30 is 15.

FAQs on GCF of 45 and 30

1. What are the LCM and GCF of 45 and 30?

The LCM and GCF of 45 and 30 are 90 and 15.

2. How to get the GCF of 45 and 30?

The GCF of 45 and 30 can be calculated by finding the factors of both numbers and identifying the highest common factor in both.

3. What are the Methods to Find GCF of 45, 30?

The 2 different methods to find the greatest common factor of 45 and 30 are prime factorization and factors of both numbers.