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Popular Pre Algebra >

Find the GCF 72 , 24

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Solution

gcd

Solution

24
Solution steps
72,24
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 24:2⋅2⋅2⋅3
24
24divides by 224=12⋅2=2⋅12
12divides by 212=6⋅2=2⋅2⋅6
6divides by 26=3⋅2=2⋅2⋅2⋅3
2,3 are all prime numbers, therefore no further factorization is possible=2⋅2⋅2⋅3
The prime factors common to 72,24 are =2⋅2⋅2⋅3
Multiply the numbers: 2⋅2⋅2⋅3=24=24

Popular Examples

Convert to a Percentage 5/16Divide 20/0.5Convert to a Mixed Number 3.625Reduce the Fraction 11/36Reduce the Fraction 48/14

Frequently Asked Questions (FAQ)

  • What is gcd 72,24 ?

    The solution to gcd 72,24 is 24

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