What are the Factors of 465?

Factors of 465 are . There are integers that are factors of 465. The greatest factor of 465 is 465.

What are the Factors of 471?

Factors of 471 are . There are integers that are factors of 471. The greatest factor of 471 is 471.

How to Find the GCF of 465 and 471?

Greatest Common Factor of 465 and 471 = 3 Step 1: Find the prime factorization of 465 465 = [1, 3, 5, 15, 31, 93, 155, 465] Step 2: Find the prime factorization of 471 471 = [1, 3, 157, 471] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[3] = 3 Step 4: Therefore, the greatest common factor of 465 and 471 is 3.

What are the Factors of 465?

Factors of 465 are . There are integers that are factors of 465. The greatest factor of 465 is 465.

What are the Factors of 471?

Factors of 471 are . There are integers that are factors of 471. The greatest factor of 471 is 471.

How to Find the GCF of 465 and 471?

Greatest Common Factor of 465 and 471 = 3 Step 1: Find the prime factorization of 465 465 = [1, 3, 5, 15, 31, 93, 155, 465] Step 2: Find the prime factorization of 471 471 = [1, 3, 157, 471] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[3] = 3 Step 4: Therefore, the greatest common factor of 465 and 471 is 3.

GCF of 465 and 471

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

Want to know what the GCF of 465 and 471 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 465 and 471. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 465, 471 using Factoring

In this method, we have to list the factors of 465 and 471 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 465 are 1 , 3 , 5 , 15 , 31 , 93 , 155 , and 465

The factors of 471 are 1 , 3 , 157 , and 471

As you can see from the aforementioned lists, the largest number that is present in both lists is 3. Therefore, we can determine that the GCF of 465 and 471 is 3.

Greatest Common Factor of 465, 471 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 465 and 471 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	465, 471
	155, 157

From the picture, we can see that 155 and 157 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

3 = 3

Hence, the GCF of 465 and 471 is 3.

Find the GCF of 465 and 471

Given numbers are 465 and 471

To find the greatest common factor of 465 and 471

The GCF of 465 and 471 is 3.

FAQs on GCF of 465 and 471

1. What are the LCM and GCF of 465 and 471?

The LCM and GCF of 465 and 471 are 73005 and 3.

2. How to get the GCF of 465 and 471?

The GCF of 465 and 471 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 465, 471?

The 2 different methods to find the greatest common factor of 465 and 471 are prime factorization and factors of both numbers.