Answer:
The statements that are true of the maximum common factor of two numbers are:
- Each number must share the factor.
- The greatest common factor could be 1.
- The number must be the largest factor both numbers share.
Step-by-step explanation:
They are numbers that you can multiply with each other to produce another number. For example, the numbers 2 and 10 are factors of 20, because their multiplication (2 * 10) results in the number 20. They are also factors of 20 4 and 5 (4 * 5 = 20) and 1 and 20. (1 * 20 = 20)
It is a common factor if it is a factor of two or more numbers. Then it is "common to" those numbers.
The maximum common factor of two numbers is the largest number that is a factor of both numbers. That is, it is simply the maximum of the common factors. The simplest method to find the maximum common factor of two numbers is to simply list all the factors of each number and find the highest number they both share.
The greatest common factor could be 1. This happens, for example, when you have a prime factor, that is, it has factors only to itself and to 1. Then the factor that both numbers have in common is 1. For example, the factors of 30 are 1, 2, 3, 5 , 6, 10, 15, and 30. The factors of 13 (13 is a prime number, that is, a natural number with exactly two factors, 1 and itself) are 1 and 13 (so 13 is a prime factor). So the maximum common factor between both numbers is only 1.
Finally, the statements that are true of the maximum common factor of two numbers are:
- Each number must share the factor.
- The greatest common factor could be 1.
- The number must be the largest factor both numbers share.
