Question

If P = 34 × 28 × 52, Q = 62 × 7 × 2, then find the number of factors of the number N and N is HCF of P & Q.

Answer 1

Answer:

P=2×17×7×2×2×2×2×13

P=2^5×17×7×13

Q=2×2×7×31

lcm=2×2×31×13×7×17

we know,

lcm ×hcf=a×b

hcf=2×2×2×2×2×17×13×2×2×7×7×31/2×2×13×31×7×17

hcf=2×2×2×7×2×2

hcf= 224