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5 problems match “greatest common divisor”. Clear

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1. Two-digit common factors of 100 and 150 ●○○○○ 10 ptsHow many positive two-digit integers are factors of both $100$ and $150$?
2. GCD of two prime-factored powers ●○○○○ 10 ptsCompute $\gcd(6^2\cdot 10^2,\,15^4)$.
3. Common divisors of 48 and 156 ●○○○○ 10 ptsHow many positive divisors do 48 and 156 have in common?
4. Balloon bouquets with equal colors ●○○○○ 10 ptsElizabeth has 84 blue balloons and 96 white balloons. She wants to make identical bouquets: every bouquet must have the same number of blue balloons and the same number of white balloons as every other bouquet. She wants to use all of her balloons. Find the greatest number of bouquets she can make.
5. Greatest shared divisor of 90 and m ●●○○○ 20 ptsTwo numbers $90$ and $m$ share exactly three positive divisors. What is the greatest of these three common divisors?