Greatest common factor (GCF) of 2 numbers 1-100
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Free printable greatest common factor (GCF) of 2 numbers 1–100 worksheets for 5th grade. Students find the GCF of two numbers within 100 using factor lists or prime factorization, building the skill essential for simplifying fractions to lowest terms. Aligned with the 5th grade number theory strand. Part of our factoring worksheets collection.
What You'll Learn
- Find the greatest common factor of two numbers up to 100
- List factors of each number and identify the largest shared
- Apply GCF to simplify fractions and solve problems
FAQ
What are the two main methods for finding the GCF of two numbers?⌄
Students can list all factors of each number and find the greatest one they share (factor listing), or find each number's prime factorization and multiply all shared prime factors together (prime factorization method).
How does the GCF directly help students simplify fractions?⌄
Dividing both the numerator and denominator by their GCF reduces a fraction to its simplest form in one step — for example, 18/24 has GCF 6, so ÷6/÷6 gives 3/4.
What is a real-world problem that involves GCF?⌄
Splitting 18 apples and 24 oranges into identical groups with no leftovers requires finding GCF(18, 24) = 6, so the largest number of identical groups possible is 6 — a classic combinatorics context for GCF.
Ratings & Reviews
3Tom B.
Learning Specialist · Verified download
This will be a great addition. I already recommend ClassWeekly to all the families I work with.
Helpful · 10
Sarah K.
Kindergarten Teacher · Verified download
So excited for this to be ready! My students really need more practice with this topic.
Helpful · 11
Emily W.
Homeschool parent · Verified download
Excited for this one! I've been hunting for a good printable on this topic for weeks.
Helpful · 9
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