Question

What is the greatest common factor for 60 and 45

Answer 1

​What is the greatest common factor for 60 and 45 ?

​The greatest common factor (GCF) is also known as greatest common divisor (GCD).

​​First we have to find the prime factorization of 60

​60 = 2² × 3 × 5

​Then we have to find the prime factorization of 45

​​45 = 3² × 5

​Now we have to multiply the common factors to both numbers with a lower exponent

​​GCF = 3 × 5 = 15

​Answer : GCF(60,45) = 15

​Hope this helps!​​​​

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