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.

What are the Factors of 140?

Factors of 140 are . There are integers that are factors of 140. The greatest factor of 140 is 140.

How to Find the GCF of 136 and 140?

Greatest Common Factor of 136 and 140 = 4 Step 1: Find the prime factorization of 136 136 = [1, 2, 4, 8, 17, 34, 68, 136] Step 2: Find the prime factorization of 140 140 = [1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140] 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 136 and 140 is 4.

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.

What are the Factors of 140?

Factors of 140 are . There are integers that are factors of 140. The greatest factor of 140 is 140.

How to Find the GCF of 136 and 140?

Greatest Common Factor of 136 and 140 = 4 Step 1: Find the prime factorization of 136 136 = [1, 2, 4, 8, 17, 34, 68, 136] Step 2: Find the prime factorization of 140 140 = [1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140] 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 136 and 140 is 4.

GCF of 136 and 140

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

Want to know what the GCF of 136 and 140 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 136 and 140. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 136, 140 using Factoring

In this method, we have to list the factors of 136 and 140 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

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

The factors of 140 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 28 , 35 , 70 , and 140

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 136 and 140 is 4.

Greatest Common Factor of 136, 140 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 136 and 140 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	136, 140
2	68, 70
	34, 35

From the picture, we can see that 34 and 35 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 136 and 140 is 4.

Find the GCF of 136 and 140

Given numbers are 136 and 140

To find the greatest common factor of 136 and 140

The GCF of 136 and 140 is 4.

FAQs on GCF of 136 and 140

1. What are the LCM and GCF of 136 and 140?

The LCM and GCF of 136 and 140 are 4760 and 4.

2. How to get the GCF of 136 and 140?

The GCF of 136 and 140 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 136, 140?

The 2 different methods to find the greatest common factor of 136 and 140 are prime factorization and factors of both numbers.