The greatest common factor of 38 and 30 is 2
- The HCF (Highest Common Factor) of two or more numbers is the largest number among all the common divisors of the given numbers.
- Simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.
- Let's try to understand this definition using two numbers, 18 and 27. The common divisors of 18 and 27 are 1, 3, and 9. Of these numbers, 9 is the largest (greatest) number. So the HCF of 18 and 27 is 9.
We have given two numbers 38 and 30 .
Prime factorization of 38 is given by
[tex]38=2\times19[/tex]
Prime factorization of 30 is given by
[tex]30=2\times3\times5[/tex]
Prime factorization of 30 and 38 contains 2 as common primes factors so , GCF will be [tex]2[/tex] .
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