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Factor pairs and common multiples
Factor pairs and common multiples
Example 1
Find the highest common factor of 60 and 72.
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Answer: 12
- List the factors of both numbers.
- The largest shared factor is 12:60=5×12 and 72=6×12.
Example 2
What is the smallest whole number greater than 69 that is a multiple of both 6 and 10?
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Answer: 90
- Common multiples are multiples of 30.
- The first one greater than 69 is 90.
Example 3
Find the highest common factor of 14 and 21.
Show worked answer
Answer: 7
- List the factors of both numbers.
- The largest shared factor is 7:14=2×7 and 21=3×7.
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