Which of the following pairs of numbers has the greatest common factor (GCF) of 1?
Practice Questions
1 question
Q1
Which of the following pairs of numbers has the greatest common factor (GCF) of 1?
8 and 12
15 and 28
9 and 27
14 and 21
The GCF of 15 and 28 is 1, making them coprime, while the other pairs share common factors.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following pairs of numbers has the greatest common factor (GCF) of 1?
Solution: The GCF of 15 and 28 is 1, making them coprime, while the other pairs share common factors.
Steps: 7
Step 1: Understand what GCF means. GCF stands for Greatest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.
Step 2: Identify the pairs of numbers you need to check for GCF.
Step 3: For each pair, list the factors of both numbers.
Step 4: Find the common factors between the two numbers in each pair.
Step 5: Determine the largest common factor for each pair.
Step 6: Check if the GCF is 1. If it is, that means the numbers are coprime (they have no common factors other than 1).
Step 7: Compare the GCFs of all pairs and identify which pair has a GCF of 1.
