What is the greatest common divisor of 20 and 36?

2 Answers
Shwetank Mauria ยท Tony B
Aug 14, 2016

Greatest Common Divisor is 4.

Explanation:

Divisors of 20 are {1,2,color(magenta)(4),5,10,20}

Divisors of 36 are {1,2,3,color(magenta)(4),6,9,12,18,36}

Common divisors are {1,2,color(magenta)(4)}

And Greatest Common Divisor is 4.

EZ as pi
Aug 18, 2016

2xx2=4

Explanation:

Writing a number as the product of its prime factors is a very useful method with many applications, especially for large numbers.

Once you have the product of the prime factors, you know everything about that number - whether it is odd, even, a square, a cube or any other power. You can also find all of its composite factors by combining the prime factors in different ways.

20 = color(red)(2xx2)xxcolor(white)(3xx3)5
36 = color(red)(2xx2)xx3xx3

GCD = color(red)(2xx2) = 4

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