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Popular Pre Algebra >

Find the GCF 108 , 72

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Solution

gcd

Solution

36
Solution steps
108,72
Prime factorization of 108:2⋅2⋅3⋅3⋅3
108
108divides by 2108=54⋅2=2⋅54
54divides by 254=27⋅2=2⋅2⋅27
27divides by 327=9⋅3=2⋅2⋅3⋅9
9divides by 39=3⋅3=2⋅2⋅3⋅3⋅3
2,3 are all prime numbers, therefore no further factorization is possible=2⋅2⋅3⋅3⋅3
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
The prime factors common to 108,72 are =2⋅2⋅3⋅3
Multiply the numbers: 2⋅2⋅3⋅3=36=36

Popular Examples

Convert to a Mixed Number 15/7Convert to an Improper Fraction 5 1/4Convert to a Simplified Fraction 0.6666Simplify (10/13)/(11/13)Reduce the Fraction 81/90

Frequently Asked Questions (FAQ)

  • What is gcd 108,72 ?

    The solution to gcd 108,72 is 36

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