Question: Which of the following pairs of numbers has the greatest common factor (GCF) of 1?
Options:
8 and 12
15 and 28
9 and 27
14 and 21
Correct Answer: 15 and 28
Solution:
The GCF of 15 and 28 is 1, making them coprime, while the other pairs share common factors.
Which of the following pairs of numbers has the greatest common factor (GCF) of
Practice Questions
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
Questions & Step-by-Step Solutions
Which of the following pairs of numbers has the greatest common factor (GCF) of 1?
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.
No concepts available.
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