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Example: 30 and 42

List the factors.

1,2,3,5,6,10,15,30

1,2,3,6,7,14,21,42

Select the common factors.

1,2,3 and 6, the GCF.

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12y ago
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9y ago

By comparing their prime factorizations.

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Q: How do you find the greatest common factor of 4 digit numbers?
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Greatest common factor of 15 17 and 30?

1 is the greatest common factor...something else that they have in common is that they are all two digit numbers.


What is the largest possible greatest common factor of seven different two-digit numbers?

100/7 = 14.2 therefore the answer is 14 (for the numbers 14,28,42,56,70,84,98)


What is the greatest common factor of 5 6 and 7?

GCF of 5, 6, and 7 is 1.Factors of 5: 1, 5Factors of 6: 1, 2, 3, 6Factors of 7: 1, 7Factors common to all three: only the 1The GCF of 5, 6, and 7 is, therefore, 1.Note: If two numbers are only one digit apart, such as 5 and 6, their greatest common factor is 1. If three numbers are each one digit apart, such as 5, 6, and 7, their greatest common factor is 1. The greatest common factor cannot be larger than the difference between the numbers, so if the difference is 1, the greatest common factor is 1.


What are two 2-digit numbers whose greatest common factor is 12 and whose least common multiple is 72?

12 and 72 24 and 36


What three numbers have a greatest common factor of 5 and least common multiple of 225 are all odd numbers and are 2 digit numbers?

15, 25, 45 15, 25, 75 25, 45, 75


73 and 89 are prime numbers what is the highest common factor?

3 Is the highest common factor because the last digit of both the numbers are divisible by 3.


What is the greatest 4 digit common factor of 12 and 40?

The GCF of 12 and 40 is 4.


What two digit number has a GCF of 43?

The gcf of 43 and 129 is 43, so the two digit number must be 43; howeverthe gcf of 86 and 129 is also 43, so the two digit number must be 86; howeverthe gcf of 22 and 86 is only 2 and the gcf of 22 and 43 is only 1, no neither 43 nor 86 has a gcf of 43!Hint:You cannot have a COMMON factor with only onenumber - common implies at least two numbers.The greatest COMMON factor is the largest number that divides all the numbers and depends upon all the numbers - it makes no sense to ask for the greatest COMMON factor of a single number.


The greatest three-digit even number that has no factor equal to 4?

198 is the greatest three-digit even number that has no factor equal to 4.


What is the greatest possible sum of two 4 digit numbers?

Add the two greatest possible four digit numbers. 9999 + 9999


What is the greatest and the smallest 4 digit numbers using the digit 1234?

smallest=1234 greatest=4321


What is the greatest number of times you would regroup when multiplying a 3 digit factor by a 2 digit factor an example?

4