Question

find the HCF of 36 and 44​

Answer 1

Answer :-

36 = 2 × 2 × 3 × 3

44 = 2 × 2 × 11

HCF = 4

Therefore, HCF of 36 and 44 is 4

Answer 2

Qᴜᴇꜱᴛɪᴏɴ :

❥ Find the HCF of 36 and 44

ᴀɴꜱᴡᴇʀ :

➩ The HCF of 36 and 44 :

➻ We will first find the prime factorization of 36 and 44. After we will calculate the factors of 36 and 44 and find the biggest common factor number .

➩ Explanation -

➟ Step - 1 :

➙ Prime Factorization of 36

➛ Prime factors of 36 are 2, 3 . Prime factorization of 36 in exponential form is :

⟶ 36 = 2² × 3²

➟ Step - 2 :

➙ Prime Factorization of 44

➛ Prime factors of 44 are 2, 11. Prime factorization of 44 in exponential form is :

⟶ 44 = 22 × 111

➟ Step - 3 :

➙ Factors of 36

➛ List of positive integer factors of 36 that divides 36 without a remainder .

⟶ 1, 2, 3, 4, 6, 9, 12, 18

➟ Step - 4 :

➙ Factors of 44

➛ List of positive integer factors of 44 that divides 36 without a remainder.

⟶ 1, 2, 4, 11, 22

➟ Final Step :

➙ Greatest Common Factor Number

➛ We found the factors and prime factorization of 36 and 44. The biggest common factor number is the GCF number.

So the greatest common factor 36 and 44 is 4 .

Hope it helps uhh !! ♥