6 and 9
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.
3 and 18
3 and 36 9 and 12
6 and 9, among many others.
Well, honey, if the LCM is 36 and the GCF is 3, then the pair of numbers we're looking for is 12 and 36. Why? Because 12 and 36 have a GCF of 12 (which is 3) and an LCM of 36. So there you have it, darling, a match made in math heaven.
The GCF is a single number so there cannot be any pair of numbers in the answer.
A number pair whose GCF is the same as one of the numbers is i , i x j where i and j are integers greater than zero. If i=3 and j=5 then the number pair will be 3,15. The GCF is 3. If i=7 and j=11 the number pair will be 7,77 and the GCF 7. The number of possible solutions is infinite.
9 and 12
Any consecutive even numbers have a GCF of 2.
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The GCF of 6 and 9 is 3.
Any pair of prime numbers as for example 19 and 23