How many positive two-digit integers are factors of both 100 and 150?

There are 3 positive 2 digit integers that are factors of both 100 and 150

Step-by-step explanation:

Factors of 100:

1, 2, 4, 5, 10, 20, 25, 50, 100

Factors of 150:

1, 2, 4, 5, 6, 10, 15, 25, 30, 50, 75, 150

Common factors between these numbers:

1, 2, 4, 5, 10, 25, 50

Common factors that are positive 2 digit integers:

10, 25, 50

There are 3 positive 2 digit integers that are factors of both 100 and 150