SHSAT Math · Number System

Factors & Multiples Practice

GCF, LCM, prime factorization, and divisibility. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

What is the least common multiple of

14

and

36

A $504$
B $36$
C $252$
D $2$

Show answer and explanation

Answer: C

The least common multiple of

14

and

36

252

(

14 \times 36 \div 2 = 252

Question 2

Which of the following numbers is divisible by both 3 and 4?

Show answer and explanation

Answer: C

36 ÷ 3 = 12 ✓ and 36 ÷ 4 = 9 ✓. Check others: 22 (not by 3), 28 (not by 3), 33 (not by 4).

Question 3

What is the greatest common factor of

22

and

10

A $110$
B $2$
C $10$
D $220$

Show answer and explanation

Answer: B

The greatest number that divides both

22

and

10

2

Practice every factors & multiples question we have

Unlimited topic practice with instant feedback, explanations for every choice, timed sections, and full 2026-format mock exams.

Free diagnostic Start practicing

Factors & Multiples Practice

Free sample questions

Practice every factors & multiples question we have

More math topics