what is the GCF of two different prime numbers explain
GCF of two natural numbers is three and there 180 is one of the numbers is 75 a number example find second number
not sure what the "three and there" means, but
75 = 3^1 5^2
180 = 2^2 3^2 5^1
sorry. Since 5^2 is not a factor of 180, it cannot be the LCM of 75 and any other number
sorry. I read LCM, not GCF
GCF(75,180) = 3*5 = 15
GCF of two primes is 1, since they have no other factors.
To find the greatest common factor (GCF) of two different prime numbers, you need to understand what a prime number and a factor are.
- Prime Numbers: Prime numbers are positive integers greater than 1 that have only two distinct positive factors: 1 and the number itself. For example, 2, 3, 5, 7, 11, and 13 are prime numbers.
- Factors: Factors are the numbers that can be multiplied together to get a given number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.
Now, since prime numbers have only two factors (1 and the number itself), the GCF of two different prime numbers can only be 1 because there are no common factors other than 1.
In other words, if you have two different prime numbers, there is no number other than 1 that can divide both of them without leaving a remainder. Therefore, the GCF of two different prime numbers is always 1.