Math, asked by farhanawajid92, 7 days ago

find the hcf of 16 and 92​

Answers

Answered by armygirl0024
4

The HCF of 16 and 92 is 4.

Please mark me as brainlist.

Answered by APPTERABAAPAYYA
3

Answer:

We will first find the prime factorization of 16 and 92. After we will calculate the factors of 16 and 92 and find the biggest common factor number .

Step-1: Prime Factorization of 16

Prime factors of 16 are 2. Prime factorization of 16 in exponential form is:

16 = 24

Step-2: Prime Factorization of 92

Prime factors of 92 are 2, 23. Prime factorization of 92 in exponential form is:

92 = 22 × 231

Step-3: Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1, 2, 4, 8

Step-4: Factors of 92

List of positive integer factors of 92 that divides 16 without a remainder.

1, 2, 4, 23, 46

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16 and 92. The biggest common factor number is the GCF number.

So the greatest common factor 16 and 92 is 4.

Answered by APPTERABAAPAYYA
3

Answer:

We will first find the prime factorization of 16 and 92. After we will calculate the factors of 16 and 92 and find the biggest common factor number .

Step-1: Prime Factorization of 16

Prime factors of 16 are 2. Prime factorization of 16 in exponential form is:

16 = 24

Step-2: Prime Factorization of 92

Prime factors of 92 are 2, 23. Prime factorization of 92 in exponential form is:

92 = 22 × 231

Step-3: Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1, 2, 4, 8

Step-4: Factors of 92

List of positive integer factors of 92 that divides 16 without a remainder.

1, 2, 4, 23, 46

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16 and 92. The biggest common factor number is the GCF number.

So the greatest common factor 16 and 92 is 4.

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