What are the Factors of 457?

Factors of 457 are . There are integers that are factors of 457. The greatest factor of 457 is 457.

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.

How to Find the GCF of 457 and 465?

Greatest Common Factor of 457 and 465 = 1 Step 1: Find the prime factorization of 457 457 = [1, 457] Step 2: Find the prime factorization of 465 465 = [1, 3, 5, 15, 31, 93, 155, 465] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[] = 1 Step 4: Therefore, the greatest common factor of 457 and 465 is 1.

What are the Factors of 457?

Factors of 457 are . There are integers that are factors of 457. The greatest factor of 457 is 457.

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.

How to Find the GCF of 457 and 465?

Greatest Common Factor of 457 and 465 = 1 Step 1: Find the prime factorization of 457 457 = [1, 457] Step 2: Find the prime factorization of 465 465 = [1, 3, 5, 15, 31, 93, 155, 465] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[] = 1 Step 4: Therefore, the greatest common factor of 457 and 465 is 1.

GCF of 457 and 465

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

Want to know what the GCF of 457 and 465 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 457 and 465. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 457, 465 using Factoring

In this method, we have to list the factors of 457 and 465 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 457 are 1 , and 457

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

As you can see from the aforementioned lists, the largest number that is present in both lists is 1. Therefore, we can determine that the GCF of 457 and 465 is 1.

Greatest Common Factor of 457, 465 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 457 and 465 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.

457, 465

From the picture, we can see that 457 and 465 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

= 1

Hence, the GCF of 457 and 465 is 1.

Find the GCF of 457 and 465

Given numbers are 457 and 465

To find the greatest common factor of 457 and 465

The GCF of 457 and 465 is 1.

FAQs on GCF of 457 and 465

1. What are the LCM and GCF of 457 and 465?

The LCM and GCF of 457 and 465 are 212505 and 1.

2. How to get the GCF of 457 and 465?

The GCF of 457 and 465 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 457, 465?

The 2 different methods to find the greatest common factor of 457 and 465 are prime factorization and factors of both numbers.