A number theory problem by Annie Li

Number Theory Level 1

What is the highest common factor of 360 and 72?

3 solutions

Mohammad Khaza
Oct 16, 2017

$\text{72 and 360 s both divisible by 72}$

$\text{so,the highest common factor of 72 and 360 is =72 }$

👏 👏 👏 👏 👏 👏 👏

Annie Li - 3 years, 7 months ago

72 is not divisible by 360. $\frac{72}{360} = 0.2$ .

Munem Shahriar - 3 years, 5 months ago

thanks for the correction.i have changed that.

Mohammad Khaza - 3 years, 5 months ago

Fred Looka
Mar 2, 2018

The prime factorization of 72 is 2 × 2 × 2 × 3 × 3
The prime factorization of 360 is 2 × 2 × 2 × 3 × 3 × 5
To find the gcf, multiply all the prime factors common to both numbers: 2 × 2 × 2 × 3 × 3
GCF is 72

Munem Shahriar
Jan 1, 2018

360 is divisible by 72. Hence the GCD is 72.