Name a pair of numbers whose greatest common factor is the same as one of the numbers.

pair of numbers whose greatest common factor is 10.

A

B
B
D
C
A
A
D
C and E
B

3,12

5,45
1234, 1093324

K

To find a pair of numbers whose greatest common factor (GCF) is the same as one of the numbers, we need to think about the relationship between the GCF and the numbers themselves.

The GCF is the largest number that divides both numbers evenly. If the GCF is the same as one of the numbers, that means the number itself is a divisor of the other number.

Let's consider an example:
Let's say we want to find a pair of numbers whose GCF is the same as one of the numbers. We can start with any number, let's say 6. Now, we need to find another number such that 6 is the GCF.

To find this other number, we can start by listing the factors of 6: 1, 2, 3, and 6. We need to find a number that has 6 as its GCF, so we are looking for a number that has 6 as one of its factors.

Let's consider the number 12. If we list the factors of 12: 1, 2, 3, 4, 6, and 12, we see that 6 is indeed a factor of 12. Therefore, the pair of numbers 6 and 12 has a GCF of 6, which is the same as one of the numbers (6).

So, one pair of numbers whose GCF is the same as one of the numbers is (6, 12).

In general, for any number n, the pair of numbers (n, 2n) will have a GCF of n, as n is a factor of 2n.

Therefore, another pair of numbers whose GCF is the same as one of the numbers is (n, 2n).

Note that there are many other pairs of numbers that satisfy this condition, but this is just one example.

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