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Except for 2, all other prime numbers are odd. The sum of any two odd numbers is even. Therefore, the Prime number 2 will evenly divide the sum of any other two prime numbers.
Here are some examples to illustrate this:
3 + 5 = 8 which is evenly divisible by 2
13 + 19 = 32 which is evenly divisible by 2
43 + 47 = 90 which is evenly divisible by 2
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What is the greatest common factor of 28 and 140 and 175?
1 no other number divides into all of them evenly
What number goes into 77 evenly?
The numbers 7 and 11 divide into 77 evenly. We know that 7 x 11 = 77, and as 7 and 11 are both prime numbers, there are no other numbers that go into 77 evenly.
What is the gcf of 3 and 5 and 8?
The greatest common factor, or GCF, of any numbers is the largest number that divides evenly into all of the numbers. Here, that would be 1 because both 3 and 5 are prime, and they share no common factors with each other nor 8.
What do you call a number that cannot be divided evenly by any numbers other than itself and one?
A prime number
Is the GCF of two numbers equal to the lesser of the numbers?
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.
