What is the greatest common factor of 18 26 and 32?

Answer 1

Answer:

The greatest common factor of 18, 26, and 32 is 2.

The common factors of 18, 26, and 32 are 1 and 2.

Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Methods:

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 18 are 1, 2, 3, 6, 9, and 18.

The factors of 26 are 1, 2, 13, and 26.

The factors of 32 are 1, 2, 4, 8, 16, and 32.

The common factors are 1 and 2. Therefore, the greatest common factor is 2.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 26 are 2 and 13.

The prime factors of 18 are 2, 3, and 3.

The prime factors of 32 are 2, 2, 2, 2, and 2.

The only common prime factor is 2, so the greatest common factor is 2.

Note: The common factors are the factors of the greatest common factor, so the common factors are 1 and 2.