What is HCF of 12 and 18?

Highest Common Factor (HCF) or Greatest Common Divisor (GCD) of 12 and 18 is the largest positive integer that divides both numbers without leaving a remainder.

In this case, the HCF of 12 and 18 is 6. This result can be found by factoring each number into their prime factors and looking for common ones among them:

12 = 2 × 2 × 3 and 18 = 2 × 3 × 3.

The common factor between these two expressions is 2 × 3 = 6. Therefore, the HCF of 12 and 18 is 6.

HCF of 12 and 18 is 6. HCF stands for Highest Common Factor, which is the largest positive integer that can divide two or more numbers without leaving any remainder. Finding the HCF of two numbers is useful for simplifying fractions, solving equations, and finding common multiples.

In this article, we will learn how to find the HCF of 12 and 18 by three different methods: prime factorization, long division, and listing common factors.