What is the GCF of 36 and 60?

Question

What is the GCF of 36 and 60?

2 Answers

Impact of this question

57071 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-31T03:57:22

Greatest Common Factor is $12$ .

Explanation:

Factors of $36$ are ${1,2,3,4,6,9,12,18,36}$ .

Factors of $60$ are ${1,2,3,4,5,6,10,12,15,20,30,60}$ .

Common factors are $}1,2,3,4,6,12}$ .

Hence Greatest Common Factor is $12$ .

Answer 2 · 2016-08-24T19:40:32

$HCF = 2xx2xx3 = 12$

Explanation:

A method of finding GCF and LCM - especially of several numbers if they are larger than usual - is to write the numbers as the product of the prime factors.

In this way we can immediately see which factors are common:

$color(white)(xxxxxx)36 = color(red)(2xx2xx3)xx3$
$color(white)(xxxxxx)60= color(red)(2xx2xx3)color(white)(xxx)xx5$

$GCF=color(white)(xx) = color(red)(2xx2xx3) color(white)(xxxxx) = 12$

$LCM=color(white)(xx) = 2xx2xx3xx3xx5 color(white)(xxxxx) = 180$

If you have any number written as the product of its prime factors, then you know everything there is to know about that number.

Science

Math

Humanities

... and beyond

What is the GCF of 36 and 60?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question