467,312 views
40 votes
40 votes
Plss help number is 21952 and 115248

Plss help number is 21952 and 115248-example-1
User TaylanKammer
by
2.6k points

2 Answers

18 votes
18 votes

Answer:

Explanation:

Bonjour,

2^4 * 7^3 => 16* 343 = 5488

21 952 / 5 488 =4

115 248/5 488 = 21

User AveryLiu
by
2.8k points
21 votes
21 votes

9514 1404 393

Answer:

2⁴·7³

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.

User Phil Clay
by
2.8k points