44
2 22
2 11
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..........44 ........../ \ ........11 4 ............/ \ ............2 2
Because 2 can divide evenly into 44 with no remainder. Every even number has two as a factor.
44 is a composite number; it has factors other than 1 and itself. It is not a prime number. The 6 factors of 44 are 1, 2, 4, 11, 22, and 44. Of these, 2 and 11 are prime.
Since 23 is a prime number, and is not a factor of 44, the greatest common factor (GCF) of 23 and 44 is 1.
Try to divide - in this case, 44 / 2. If you get a whole number, it's a factor; otherwise it isn't.