Chapter CSB1.2, Problem 12E

To determine

To find: The GCF of given set of numbers.

Answer to Problem 12E

The GCF of 30 and 35 is 5.

Explanation of Solution

Given information:

The given numbers are 30 and 35.

Concept used:

The Greatest Common Factor (GCF) of two or more numbers/ polynomials is defined as the largest number/ factor that is a factor of all the numbers.

The GCF is calculated by multiplying all the common factors of given numbers or polynomials.

Calculations:

The given numbers are 30 and 35.

The factors of both numbers are

  $30=2\times 3\times \underset{\_}{5}$

  $35=\underset{\_}{5}\times 7$

The GCF of 30 and 35 is the product of all common factors of 30 and 35 that is only 5.

Hence, the GCF of 30 and 35 is 5.

Conclusion:

The GCF of 30 and 35 is 5.