Greatest Common Factor

6.NOS.4 · Unit 1 · Lesson 2

Name   Period

Objectives / Objetivos

Content Objective: I can find the greatest common factor (GCF) of two numbers by listing or comparing their factors.

Language Objective: I can explain how I found the GCF using the words factor, common factor, divisible, and greatest common factor.

Key Idea / Idea clave

The GCF is the largest number that divides BOTH numbers with no remainder.

I Notice / Observo

  • What two quantities need to be divided equally?
  • What numbers could divide into both 24 and 36?

I Wonder / Me pregunto

  • What's the biggest number of equal groups we can make?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Factor
Factor		A factor of a whole number divides it evenly, with no remainder. For example, 3 is a factor of 12 because 12 ÷ 3 = 4.
Un factor de un número entero lo divide exactamente, sin dejar residuo. Por ejemplo, 3 es un factor de 12 porque 12 ÷ 3 = 4.
Greatest Common Factor
Máximo común divisor		The biggest number that divides two or more numbers evenly.
El número más grande que divide a dos o más números sin que sobre nada.
Common factor
Factor común		A number that divides two or more numbers evenly.
Un número que divide a dos o más números sin que sobre nada.
Divisible
Divisible		A number you can divide evenly, with nothing left over.
Un número que se puede dividir sin que sobre nada.
Prime factorization
Factorización prima		Writing a number as prime numbers multiplied together. It helps you find the GCF.
Escribir un número como números primos multiplicados. Ayuda a encontrar el MCD.

Practice Preview / Vista previa de práctica

  1. What is the GCF of 8 and 12?
    1. 4
    2. 2
    3. 8
    4. 24
  2. Match each pair of numbers to their GCF.
  3. Use prime factorization to find the GCF.
  4. Find Amara's Mistake
    1. Step 1: Find factors of 16 — 1, 2, 4, 8, 16
    2. Step 2: Find factors of 28 — 1, 2, 4, 7, 14, 28
    3. Step 3: List common factors — 1, 2, 4
    4. Step 4: Choose GCF — GCF = 2

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: