Example: 30 and 42
1, 2, 3, 5, 6, 10, 15, 30
1, 2, 3, 6, 7, 14, 21, 42
Draw a circle around the sixes.
Numerators and denominators are just numbers. List the factors of each and circle the numbers that appear on both lists. These are common factors.
Write the factors of the first number in the left circle. Write the factors of the second number in the right circle. Write the numbers that are the same in each individual circle in the space where they intersect.
List the factors of each of the numbers in the set. Write down the numbers that appear on all the lists. Choose the largest one.
To find the greatest common factor of two numbers first factor each number into its prime factors. Next circle all the factors that are in both numbers. 96=2x2x2x2x2x3 72=2x2x2x3x3 2x2x2x3=24
Prime numbers
The list of prime numbers is infinite. There are two factors for each.
Example: What are the common prime factors of 120 and 252?Find the prime factorization of each number by breaking it down into the lowest possible numbers that can be multiplied together to make the original number.120 = 2x60 = 2x2x30 = 2x2x2x15 = 2x2x2x3x5252 = 2x126 = 2x2x63 = 2x2x3x21 = 2x2x3x3x7Notice that there are 2 2's and a 3 in each factorization: the common prime factors are 2, 2, and 3.
If they are prime numbers only 2 factors but if they are composite number they will have more than 2 factors
Please tell us your set of numbers.
The prime factors are the factors of its square root, each one appearing twice as often.
The numbers that multiply are called factors.
Each number has a certain amount of factors. Other numbers may have the same amount of factors, but not the same exact factors. Since numbers don't stop, thee amount of factors doesn't stop either, but each number has a distinct set.