9514 1404 393
Answer:
2⁴·7³
Step-by-step explanation:
The set of primes that are factors of 21952 is {2, 7}.
The set of primes that are factors of 115248 is {2, 3, 7}.
Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.
The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.
The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.
So, the Highest Common Factor of the two numbers is 2⁴·7³.
