Oh, dude, the Highest Common Factor (HCF) of 6 and 30 is like the biggest number that can divide both of them without leaving a remainder. So, you look at the factors of 6 (1, 2, 3, 6) and 30 (1, 2, 3, 5, 6, 10, 15, 30) and find the biggest one they have in common. In this case, it's 6. So, the HCF of 6 and 30 is 6. Easy peasy, lemon squeezy!
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Factor them.
2 x 2 x 2 x 3 = 24
2 x 3 x 5 = 30
Select the common factors.
2 x 3 = 6, the GCF.
The greatest common factor or the highest common factor is the highest number that divides exactly into two or more numbers. 24: 1, 2, 3, 4, 6, 8, 12, 24 30: 1, 2, 3, 5, 6, 10, 15, 30 The GCF of 24 and 30 is 6.
An HCF of 1 means that the two numbers share no prime factors. An LCM of 30, means the numbers have between them prime factors of 2, 3 and 5. Thus any product combination of these factors will give a possible answer. You could have: 2 and 3x5 (15) 3 and 2x5 (10) or 5 and 2x3 (6)
HCF(30, 36, 42) = 6 LCM(30, 36, 42) = 1260
9
Prime factorization is one of the ways you find the HCF.