Make sure that 37 is a factor of both numbers and that they do not have any other common factors.
Example Solution: 37 and 74
Practice makes perfect
Factors that are shared by two or more numbers are called common factors. The greatest of the common factors is called the greatest common factor (GCF). We want to write a pair of numbers with the given GCF.
37We need to keep two things in mind to find this pair of numbers.
37 must be a factor of both numbers.
The numbers cannot have any common factors that are greater than 37.
The easiest way to do this is to multiply 37 by 1 to get the first number and then multiply 37 by 2 to get the second number. This way lets us be sure that 37 is a factor of both numbers and that the pair does not have any greater common factors.
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First Number & Second Number
37* 1= 37 & 37* 2= 74
Two numbers whose greatest common factor is 37 are 37 and 74. This is just one of many possible solutions.
Checking Our Answer
We can check our answer by finding the greatest common factor of 37 and 74 and verifying whether it is 37. We do this by listing all of the factors of 37 and 74, then identifying the greatest of the common factors.
Factors of37:& 1, 37
Factors of74:& 1,2, 37,74
We can see that the GCF of 37 and 74 is 37. Our answer is correct!
