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1 and 17
You start by "prime factorizing" one of the numbers. It doesn't matter which one ( or, at least, unless you've done factoring for a while). We'll factorize 68, because it's even and thus we know it's divisible by 2.
68/2 = 34
34/2 = 17
Thus, 68 can be rewritten as a product of 2 * 2 * 17.
Now, 51 is an odd number, so it can't have 2 as a factor. By process of elimination, the factor must be 17, right?! Wrong! 1 could be the only factor the two have in common (which reminds me, you can probably write "1" for this problem!). But anyways, we should check 17:
51/17 = 3 with 0 remainder.
17 is a factor of 51, and we've determined it's also a factor of 68 from above. Thus it's a factor of both.
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What is the greatest common factor of the numbers 34 51 and 68?
The GCF is 17.
What are the factor and multiples of 17?
Factors: 1 and 17 Multiples: 17, 34, 51, 68 and so on.
What is the greatest common factor of 17 68?
Since 17 is a factor of 68, it is automatically the GCF.
What is a multiples of 17?
A multiple of any number is the number times the given number it is to be multiplied by. Example, the first multiple of 17 is 34, (17x2=34) The second multiple is 51, (17x3=51), the third is 68, (17x4=68) and so on. So, 17 times anything will equate to a multiple of 17 because it can be divided back the same number of times to become 17 again.
What is the answer for the factor tree 68?
68 / \ 2x34 / \ 2x17
