Worked Example 1
Greatest Common Factor
- 1Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- 2Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- 3The greatest common factor is 12. Each kit has 24 ÷ 12 = 2 pencils and 36 ÷ 12 = 3 erasers.
Florida Grade 6 Math · Number Sense and Operations
What this Grade 6 benchmark means, worked examples, common mistakes, and a free printable worksheet.
Created by a Florida mom · Published by Tropical Learning LLC
The greatest common factor (GCF) of two numbers is the largest number that divides both. The least common multiple (LCM) is the smallest number that is a multiple of both.
GCF problems usually split things into equal groups ("the most identical kits"). LCM problems usually ask when things happen together again. The GCF also simplifies fractions. In Grade 6, GCFs are within 1,000 and LCMs use factors up to 25.
Official benchmarkGiven a mathematical or real-world context, find the greatest common factor and least common multiple of two whole numbers.
On the FAST test: part of the Grade 6 reporting category Number Sense and Operations, which is about 33–42% of the test.
Worked Example 1
Worked Example 2
24 is the LCM. The GCF is the largest number that divides both: 4.
48 is a common multiple, but not the least. The LCM of 6 and 8 is 24.
Ask: "Are we splitting into equal groups (GCF) or waiting for things to line up again (LCM)?"
Help your child build math confidence with original interactive questions aligned with Florida's B.E.S.T. Mathematics Standards.
Start Practicing FreeIndependent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.