What are the Factors of 132?

Factors of 132 are . There are integers that are factors of 132. The greatest factor of 132 is 132.

What are the Factors of 136?

Factors of 136 are . There are integers that are factors of 136. The greatest factor of 136 is 136.

How to Find the GCF of 132 and 136?

Greatest Common Factor of 132 and 136 = 4 Step 1: Find the prime factorization of 132 132 = [1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132] Step 2: Find the prime factorization of 136 136 = [1, 2, 4, 8, 17, 34, 68, 136] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2, 2] = 4 Step 4: Therefore, the greatest common factor of 132 and 136 is 4.

What are the Factors of 132?

Factors of 132 are . There are integers that are factors of 132. The greatest factor of 132 is 132.

What are the Factors of 136?

Factors of 136 are . There are integers that are factors of 136. The greatest factor of 136 is 136.

How to Find the GCF of 132 and 136?

Greatest Common Factor of 132 and 136 = 4 Step 1: Find the prime factorization of 132 132 = [1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132] Step 2: Find the prime factorization of 136 136 = [1, 2, 4, 8, 17, 34, 68, 136] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2, 2] = 4 Step 4: Therefore, the greatest common factor of 132 and 136 is 4.

GCF of 132 and 136

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

Want to know what the GCF of 132 and 136 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 132 and 136. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 132, 136 using Factoring

In this method, we have to list the factors of 132 and 136 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 132 are 1 , 2 , 3 , 4 , 6 , 11 , 12 , 22 , 33 , 44 , 66 , and 132

The factors of 136 are 1 , 2 , 4 , 8 , 17 , 34 , 68 , and 136

As you can see from the aforementioned lists, the largest number that is present in both lists is 4. Therefore, we can determine that the GCF of 132 and 136 is 4.

Greatest Common Factor of 132, 136 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 132 and 136 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	132, 136
2	66, 68
	33, 34

From the picture, we can see that 33 and 34 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

2 x 2 = 4

Hence, the GCF of 132 and 136 is 4.

Find the GCF of 132 and 136

Given numbers are 132 and 136

To find the greatest common factor of 132 and 136

The GCF of 132 and 136 is 4.

FAQs on GCF of 132 and 136

1. What are the LCM and GCF of 132 and 136?

The LCM and GCF of 132 and 136 are 4488 and 4.

2. How to get the GCF of 132 and 136?

The GCF of 132 and 136 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 132, 136?

The 2 different methods to find the greatest common factor of 132 and 136 are prime factorization and factors of both numbers.