GCF of 54 and 62
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Want to know what the GCF of 54 and 62 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 54 and 62. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.
Detailed Solution to Calculate GCF of 54, 62 using Factoring
In this method, we have to list the factors of 54 and 62 separately and then select the highest number that appears in both lists. This will be your greatest common factor.
The factors of 54 are 1 , 2 , 3 , 6 , 9 , 18 , 27 , and 54
The factors of 62 are 1 , 2 , 31 , and 62
As you can see from the aforementioned lists, the largest number that is present in both lists is 2. Therefore, we can determine that the GCF of 54 and 62 is 2.
Greatest Common Factor of 54, 62 with Prime Factorization
This is prime factorization. Essentially, you have to divide both 54 and 62 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.
| 2 | 54, 62 |
| 27, 31 |
From the picture, we can see that 27 and 31 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.
2 = 2
Hence, the GCF of 54 and 62 is 2.
Find the GCF of 54 and 62
Given numbers are 54 and 62
To find the greatest common factor of 54 and 62
The GCF of 54 and 62 is 2.
FAQs on GCF of 54 and 62
1. What are the LCM and GCF of 54 and 62?
The LCM and GCF of 54 and 62 are 1674 and 2.
2. How to get the GCF of 54 and 62?
The GCF of 54 and 62 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 54, 62?
The 2 different methods to find the greatest common factor of 54 and 62 are prime factorization and factors of both numbers.