Question

Whats the gcf of 72,96??

Answer 1

Answer and Step-by-step explanation:

`\huge\boxed{The~gcf~of~72~and~96~is:24~}`

i.First, take the prime factorization of 72:

→
`72=2*2*2*3*3`

ii.Now, find the prime factorization of 96:

→
`96=2*2*2*2*2*3`

iii.To find the gcf, multiply all the prime factors common to both numbers:

→ Therefore, gcf is:
`=2*2*2*3`

iv. Now, that we've got the numbers to be multiplied, we can easily find our gcf of 72 and 96:

→GCF
`=24`

v.Thus, the GCF of 72 and 96 is : 24

Answer 2

24

Explanation:

One way to find the gcf of 2 numbers

• Divide the larger by the smaller

• If the remainder is zero then the smaller number is the gcf

• If not repeat with remainder as smaller value until a remainder of zero is obtained.

Given 72 and 96, then

96 ÷ 72 = 1 remainder 24 ← remainder not zero so repeat process

72 ÷ 24 = 3 remainder 0 ← remainder of zero, thus

24 is the gcf of 72 and 96