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When you are finding common factors, one method is to list the factors.
A factor is a divisor - a number that will evenly divide into another number. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The factors of 63 are 1, 3, 7, 9, 21, and 63. The common factors are 1, 3, 7, and 21.
Common factors are factors that are shared by a given set of numbers, usually positive integers. Greatest common factors (sometimes abbreviated to GCFs) are the factors in these given sets that have the greatest value out of all common factors. Example: Factors of 9: 1, 3, 9 Factors of 15: 1, 3, 5, 15 The common factors of 9 and 15: 1, 3 The GCF: 3
The term common factors specifically refers to the factors shared by two or more numbers. Since 2 is a single number, you could say that it shares all of its factors with itself.2 is a prime number. It is only evenly divisible by itself and one.There cannot be a common factor of just one number. To be common there need to be at least two numbers.
All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors because they are factors that the numbers have in common. 3 is a factor of 12. 3 is a factor of 15. 3 is a common factor of 12 and 15.