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Popular Pre Algebra >

Find the GCF 72 , 36

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Solution

gcd

Solution

36
Solution steps
72,36
Prime factorization of 72:2⋅2⋅2⋅3⋅3
72
72divides by 272=36⋅2=2⋅36
36divides by 236=18⋅2=2⋅2⋅18
18divides by 218=9⋅2=2⋅2⋅2⋅9
9divides by 39=3⋅3=2⋅2⋅2⋅3⋅3
2,3 are all prime numbers, therefore no further factorization is possible=2⋅2⋅2⋅3⋅3
Prime factorization of 36:2⋅2⋅3⋅3
36
36divides by 236=18⋅2=2⋅18
18divides by 218=9⋅2=2⋅2⋅9
9divides by 39=3⋅3=2⋅2⋅3⋅3
2,3 are all prime numbers, therefore no further factorization is possible=2⋅2⋅3⋅3
The prime factors common to 72,36 are =2⋅2⋅3⋅3
Multiply the numbers: 2⋅2⋅3⋅3=36=36

Popular Examples

Convert to a Mixed Number 1.55Convert to a Mixed Number 31/3Evaluate 22/12Evaluate 3.14*17Reduce the Fraction 180/100

Frequently Asked Questions (FAQ)

  • What is gcd 72,36 ?

    The solution to gcd 72,36 is 36

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