Question
Find the greatest common factor of 38 and 42.
Ask by Maxwell Greene. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The greatest common factor of 38 and 42 is 2.
Solution
To find the greatest common factor (GCF) of 38 and 42, you can follow these steps:
Step 1: List the factors of each number.
• Factors of 38: 1, 2, 19, 38
• Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Step 2: Identify the common factors.
The common factors of 38 and 42 are 1 and 2.
Step 3: Choose the greatest common factor.
The greatest common factor is 2.
Therefore, the greatest common factor of 38 and 42 is 2.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To find the greatest common factor (GCF) of 38 and 42, let's break it down! First, we can list the factors of each number: the factors of 38 are 1, 2, 19, and 38, while the factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The largest number that appears in both lists is 2. So, the GCF of 38 and 42 is 2! Want to know a neat trick? You can also find the GCF using prime factorization. For 38, the prime factors are 2 and 19, while for 42, they are 2, 3, and 7. The only common prime factor here is 2, confirming that the GCF is indeed 2! Who knew math could be so fun?
