Any gcf can be found by using prime factorization, but I'll show you a different, arguably cooler way to do so. First, I will show you the steps do to it. Below it, I will explain what I did.
gcf (8192, 1296)
=gcf (1296, 416)
=gcf (416, 48)
=gcf (48, 32)
=gcf (32, 16)
=16. WHAT?????
Here's what I did: I divided the bigger number (8192) by the smaller number (1296) and put the remainder (416) in the next row. Now I have the formula (x, y)= (smaller number from row above it, remainder when the two numbers in the row above it are divided). Continue this process until there is no remainder. When there is no remainder, the quotient is the gcf! Here's a check: 8192=2^13
1296=(2^4)(3^4)
They share 2^4=16!
Here's another example:
gcf (1038, 102)
=gcf (102, 18)
=gcf (18, 12)
=gcf (12, 6)
=6.
Check it yourself!
By the way, I am an 11th Grade student in AP Calculus BC who is aspiring to be a mathematician, so I wouldn't risk providing an inaccurate answer!
The GCF is 4.
You need at least two numbers to find a GCF.
The GCF is nt2
The GCF is 3.
To find a pair of numbers with a given GCF, take the GCF number and double it. The pair of numbers is the GCF, and two times the GCF. For instance, two numbers with a GCF of 3 are 3 and 6.
The GCF is 4.
You don't; you need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF.
You need at least two numbers to find a GCF. The GCF of 18 and 24 is 6.
very big * * * * * Depends on your idea of "very big". GCF(108, 48, 72) = 12 and I would not call that very big!
The GCF is 30.
The GCF is 6xy
The GCF is: 1
The GCF is nt2