Integers

Highest common factors

Name: ______________________________Date: ______________Score: ______ / 20

1.
Find the highest common factor of 7 and 29.
2.
Which is a common factor of 24 and 35?
1. A1
2. B59
3. C25
3.
You have 32 pencils and 28 rubbers. What is the largest number of identical packs you can make with none left over?
packs
4.
Find the highest common factor of 14 and 36.
5.
Which is a common factor of 34 and 11?
1. A45
2. B1
3. C35
6.
Put the factors of 12 in order, smallest first: 12, 6, 4, 3, 2, 1
Write the order (smallest to largest) in the boxes:
- ?12
- ?6
- ?4
- ?3
- ?2
- ?1
7.
Find the highest common factor of 13 and 43.
8.
Which is a common factor of 27 and 21?
1. A48
2. B30
3. C3
9.
7 is a factor of 21.
True False
10.
How many factors does 30 have?
11.
You have 19 pencils and 31 rubbers. What is the largest number of identical packs you can make with none left over?
packs
12.
9 is a factor of 31.
True False
13.
Simplify the fraction 35/21 by dividing by the HCF. What is the new numerator (the top number)?
14.
Put the factors of 15 in order, smallest first: 15, 5, 3, 1
Write the order (smallest to largest) in the boxes:
- ?15
- ?5
- ?3
- ?1
15.
Find the highest common factor of 25 and 12.
16.
Simplify 21/14 as far as possible. What is the new denominator (the bottom number)?
17.
27 and 14 have no common factor except 1.
True False
18.
4 is a factor of 33.
True False
19.
How many factors does 12 have?
20.
25 and 13 have no common factor except 1.
True False

Answer key

Integers — Highest common factors