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The greatest common factor of the set of all natural numbers is 1. Just take a small sample of consecutive numbers to compare.
The factors of 2 are 1 and 2.
The factors of 3 are 1 and 3.
The factors of 4 are 1, 2, and 4.
The factors of 5 are 1 and 5.
The only common factor is 1, so the greatest common factor is 1.
Therefore, the only common factor to all numbers is 1. If the greatest common factor of a pair of numbers is 1, any set of numbers including that pair of numbers cannot have a greatest common factor that is larger - it must also be 1.
Here is a larger list of numbers to compare:
The factors of 2 are 1 and 2.
The factors of 3 are 1 and 3.
The factors of 4 are 1, 2, and 4.
The factors of 5 are 1 and 5.
The factors of 6 are 1, 2, 3, and 6.
The factors of 7 are 1 and 7.
The factors of 8 are 1, 2, 4, and 8.
The factors of 9 are 1, 3, and 9.
The factors of 10 are 1, 2, 5, and 10.
The factors of 11 are 1 and 11.
The factors of 12 are 1, 2, 3, 4, 6, and 12.
The factors of 13 are 1 and 13.
The factors of 14 are 1, 2, 7, and 14.
The factors of 15 are 1, 3, 5, and 15.
The only common factor is 1, so the greatest common factor is 1.
Factor each number to its prime factors, look for the prime factors that appear in every single number and eliminate any prime factor tat doesn't appear in each number. Multiply what's left back together and you'll have the GCF.
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
List them.
Example: 30 and 42
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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What is the greatest common factor of 34?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
Common factors and greatest common factors?
they are closely related, but GCF (greatest common factor) is the largest common factor between two or more numbers.
What is the greatest common fraction?
That's a misrepresentation of the term "greatest common factor," or GCF, which is the largest number that will divide evenly with no remainder into all the members of a set of two or more given numbers.
What is the greatest common factor of 2060?
There is neither a greatest common factor nor common factors of a single number, such as 2060, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.
What is the greatest common factor of 39?
There is neither a greatest common factor nor common factors of a single number, such as 39, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.
What is the greatest common factor for 28?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
What is the greatest common factor for 712?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
What is the greatest common factor of 270?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
Greatest common factor of 42?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
What is the greatest common factor of 374?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
What is the greatest common factor of 410?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
What is greatest common factor of 39?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
What are the common factors and greatest common factor of 125?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
What are the greatest common factors of nine?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
What are the greatest common factors for 36?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
What greatest common factors go into 32?
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
What is the greatest common factor for 12?
You need at least two numbers to find a GCF. There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
