Yes, the Greatest Common Factor (GCF) of a pair of numbers can be equal to one of the numbers. This happens when one of the numbers is a multiple of the other number. In such cases, the GCF will be the smaller number itself, as it is the largest number that can evenly divide both numbers. For example, the GCF of 12 and 6 is 6, as 6 is a factor of both numbers.
The GCF can be equal to the smaller number if the smaller number is a factor of the larger one. The GCF can be equal to both numbers if they are the same number. The GCF of 10 and 10 is 10.
One way to check: The product of the original two numbers is equal to the product of their GCF and LCM. If you divide that product by their GCF, you will get the LCM.
Oh honey, no. The Greatest Common Factor (GCF) of two numbers is the largest number that divides both of them evenly. It's not just the lesser of the two numbers, it's the biggest number that can play nice with both of them. So, don't sell the GCF short, it's got a big job to do.
If one of the numbers is a multiple of the other, the smaller number is the GCF. If the two numbers are prime numbers, the GCF is 1. If the numbers are consecutive, the GCF is 1. If the numbers are consecutive even numbers, the GCF is 2.
You need at least two numbers to find a GCF.
Yes, if one of the numbers is a factor of the other.
When one of the numbers is a factor of the other.
Yes. 4 and 8 have a GCF of 4. 104 and 108 have a GCF of 4. Any set of prime numbers has a GCF of 1, no matter how large or small they are.
Yes, for example the trivial case in which the numbers are the same:The GCF of 12 and 12 is 12.This also occurs when one number is divisible by the other:The GCF of 12 and 4 is 4.
14 and 28 are one pair.
In that case, the smaller number is the GCF of the pair.
When one of the numbers is a factor of the other.
The GCF is the factor, the LCM is the other one.
Only if one of the numbers is a multiple of the other.
GCF - Greatest Common Factor (GCF is always smaller or equal to at least one of the numbers) LCM - Least Common Multiple (LCM is always greater or equal to at least one of the numbers)
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.
There is no pair of real numbers or pure imaginary numbers that can do that.The pair that can is the conjugate pair of complex numbers [ 1/2 ± 1/2 sqrt(79) i ] .