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One solution would be to list the factors of the two numbers and find all the common factors. The greatest one would be the greatest common factor.

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Q: How do you figure out two number's greatest common factors?
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Common factor of 9 and 12?

Take the number 9 and figure out what whole numbers you could multiply together to get that answer. Exclude the numbers and 9. Now take the number 12 and figure out what whole numbers you could multiply to get it. Exclude 1 and 12.When you're all done, look at them to see what number they have in common. That will be your common factor!


How do you figure out prime numbers not knowing there factors?

But you do know the factors of prime numbers. Every prime number has two factors: one and the number itself.


How do you figure what fraction 21 of 56 is?

Find a common factor of 21 and 56 and divide both by that factor to give two new numbers. If necessary, repeat the process with a common factor of these two numbers and so on. This looping can be done in one step if you can find the greatest common factor. So, for 21 and 56, the GCF = 7 So 21/56 = (21/7) / (56/7) = 3/8


Explain one method of finding the greatest common factor of 48 and 84?

one method is simply writing out all the factors of both 48 and 84: 48's factors: 1,48,2,24,4,12,16,3,8,6 84's factors:1,84,2,42,3,28,4,21,6,14,7,12 therefore by comparison greatest factor is 12. The only other way i know is by reducing to prime factor form: 48 is 2^4 x 3 and 84 is 2^2x3x7 You can then see the highest common factor will be by using 2^2 x 3 which is common in the prime factors of 48 ad 84 (2^2 x 3 = 12)


How is 4 the HCF of 28 and 60?

To figure out the HCF of 28 and 60, split them up into their prime factors: 28 = 2x2x7 60 = 2x2x3x5 The next step is to identify any common prime factors. In this case, both numbers have two 2s as prime factors. Multiply these together and you get: 2x2 = 4 Therefore 4 is the HCF of 28 and 60.

Related questions

How do you figure greatest common factor?

To find the greatest common factor (GCF), first find the prime factorization of the two numbers. The GCF is the product of all of the prime factors the two numbers have in common. If two numbers have no common factors, the GCF is 1. (Since all numbers are divisible by 1.) Example: Find the GCF of 60 and 24. Prime factors of 60: 2, 2, 3, 5 Prime factors of 24: 2, 2, 2, 3 Common factors: 2, 2, 3 GCF: 2x2x3=12 Example: Find the GCF of 17 and 21. Prime factors of 17: 17 Prime factors of 21: 3, 7 Common factors: None (1). GCF: 1


What is the greatest common factor of 30 and 75 and 120?

First, you need to figure out the factors of 30, 75, and 120: The factors of 30 are 1,2,3,5,6,10,15, and also 30. The factors of 75 are 1,3,5,15,25, and also 75. The factors of 120 are 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60, and also 120. Then you need to see what factors these numbers have in common. 30, 75, and 120 have the factors 1, 3, and 5 in common. Out of all of these numbers what is the greatest number that all three of these numbers have in common? If you said 5, you are correct. So the greatest common factor of 30, 75, and 120 is 5! I hope this answer helped you understand this problem. *See you later and thanks Mrs. Mirelez, Mrs. Sorrentino, Mrs. Miller and Mr. Harrison for helping me out in 6th grade. Your best fan and your greatest student, Micah


Why do common multiples and common factors help solve a problem?

yes because it helps me figure out all the prime numbers!;)


Common factor of 9 and 12?

Take the number 9 and figure out what whole numbers you could multiply together to get that answer. Exclude the numbers and 9. Now take the number 12 and figure out what whole numbers you could multiply to get it. Exclude 1 and 12.When you're all done, look at them to see what number they have in common. That will be your common factor!


What is the greatest common factor of 125 and 50?

GCF of 50 and 125 is 25.First off you will want to figure out all of the factors of each number:125: 1,5,25,125 50: 1,2,5,10,25,50Ok, now that you have all of the factors of each number, you want to find the greatest common factor. This means that you want find the biggest number that is a factor of both of the two numbers.Both 5 and 25 are factors of these two numbers. Now you have to figure out which one is the biggest. 25 is the biggest and that is your answer.


What is the greatest common factor of 14 and 45?

The GCF for 14 and 45 is 1 because you must list the factors for each number and then you will figure out that the greatest common factor is 1.The GCF is 1.The GCF is: 1


What is the gcf of 135 and 441?

The greatest common factor (GCF) of 135 and 441 is 27. To find the GCF, you need to determine the prime factors of each number. The prime factors of 135 are 3 x 3 x 3 x 5, and the prime factors of 441 are 3 x 3 x 7 x 7. The GCF is the product of the common prime factors raised to the lowest power, which in this case is 3 x 3 = 27.


What are the greatest common factor and least common multiple of 20 and 36?

The GCF and the LCM of 20 and 36 are 4 and 180, respectively.To calculate the GCF of a series of numbers, you need to first figure out the prime factors of each of the numbers.The prime factors of 20 are 2, 2, and 5The prime factors of 36 are 2, 2, 3, and 3The two numbers share 2 and 2 as prime factors so the GCF = 2 x 2 = 4To calculate the Least Common Multiple (LCM), you need to first figure out the prime factors of each of the numbers, and then create a number using all the factors (but only using shared factors once).In this instance the factors required are 2, 2, 3, 3, and 5These, when multiplied together, give an product of 180


How do you figure out the ratio of 6 to 8?

It is simply 6:8. You could, if you wanted to, simplify the ratio by dividing both the numbers by their greatest common factor.


How do you figure out prime numbers not knowing there factors?

But you do know the factors of prime numbers. Every prime number has two factors: one and the number itself.


What is the greatest common factor of 99 and 66?

The GCF of 66 and 99 is 33. This gives you 2 and 3 respectively. You cannot get any more common factors that impact the end figure.


Who is the holy figure in Judaism?

Moses was the greatest of prophets (Numbers ch.12).