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------------------------------------------------ What is the highest common factor for 3876 and 114?

Answer :

Answer:

The highest common factor would be 114


3876 = 2x3x3x17x19

114 = 2x3x19

Final answer:

The highest common factor (HCF) of 3876 and 114 is 6.

Explanation:

To find the highest common factor (HCF) of two numbers, such as 3876 and 114, we need to determine the largest number that divides evenly into both given numbers.

We can start by finding the prime factors of each number. The prime factorization of 3876 is 2 × 3 × 1,29, and the prime factorization of 114 is 2 × 3 × 19.

The common factors we can identify are 2 and 3, so the HCF of 3876 and 114 is 2 × 3, which is 6.

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