The greatest common factor of the 25p+50q using distributive property will be 25(p+2q).
What is the highest common factor?
The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.
In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.
For example in 6 and 12 6 is the highest common factor.
Given the two numbers are 25p+50q
⇒ 25p + 50q
By distributive property
⇒ 25(p + 2q)
Since 25 is divisible by both numbers so it should be the highest common factor.
To learn more about the highest common factor
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