Math Problem Statement

If the GCF of two or more numbers is 1, the numbers are said to be relatively prime. Give two composite numbers between 50 and 60 that are relatively prime.

Solution

The problem is asking for two composite numbers between 50 and 60 that are relatively prime, meaning their greatest common factor (GCF) is 1.

Let's identify two composite numbers within this range that have no common factors other than 1.

  • Possible composite numbers between 50 and 60 are: 51, 52, 54, 55, 56, 57, 58, and 60.

After checking, 55 and 56 fit this requirement. The GCF of 55 and 56 is 1, so they are relatively prime.

Would you like further explanation on this solution?

Here are some related questions:

  1. What are other examples of relatively prime numbers?
  2. How can you determine if two numbers are relatively prime?
  3. Why are 55 and 56 considered composite numbers?
  4. What is the importance of finding relatively prime numbers in math?
  5. Can a prime number be relatively prime with a composite number?

Tip: Remember, two numbers are relatively prime if they share no factors other than 1, regardless of whether they are prime or composite.

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Math Problem Analysis

Mathematical Concepts

Number Theory
Greatest Common Factor
Relatively Prime Numbers
Composite Numbers

Formulas

GCF(a, b) = 1 if a and b are relatively prime

Theorems

Definition of Relatively Prime Numbers

Suitable Grade Level

Grades 5-7