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Find the highest common factor (HCF) of 72 and 90. - Edexcel - GCSE Maths - Question 4 - 2019 - Paper 1

Question 4

Find the highest common factor (HCF) of 72 and 90.

Worked Solution & Example Answer:Find the highest common factor (HCF) of 72 and 90. - Edexcel - GCSE Maths - Question 4 - 2019 - Paper 1

Step 1

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Answer

To find the factors of 72, we can list them sequentially:

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Step 2

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Answer

Next, we will list the factors of 90:

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Step 3

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Answer

Comparing the factors of 72 and 90, we find the common factors:

Common factors: 1, 2, 3, 6, 9, 18

Step 4

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Answer

The highest common factor (HCF) of 72 and 90 is the largest number among the common factors, which is:

HCF = 18

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