Back to Tutor Intake Assessment: Find the greatest common factor and the least common multiple

6.NS.B.4 Tutor Intake -- GCF, LCM, and Factoring

This short check helps your tutor see where to start. Work on your own,
without a calculator. If you're unsure, give your best try — the goal is
to find what to work on together, not to grade you.

Grade 6·9 problems·~12 min·Common Core Math - Grade 6·standard·6-ns-b-4
Work through problems with immediate feedback
A

Concepts

1

What is the greatest common factor of 1818 and 3535?

2

Find the least common multiple of 44 and 66 by listing
multiples of each.

B

Procedures

1

Find the greatest common factor of 3636 and 2424 by listing
factors.

2

Using prime factorization (72=23×3272 = 2^3 \times 3^2 and
108=22×33108 = 2^2 \times 3^3), find GCF(72,108)(72, 108).

3

Using prime factorization (8=238 = 2^3 and 12=22×312 = 2^2 \times 3),
what is LCM(8,12)(8, 12)?

4

Express 24+3624 + 36 as the GCF times a sum of two coprime numbers:
$24 + 36 = $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ×(\times (   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   $ + $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   )).

gcf:
term-1:
term-2:

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