The greatest common factor of eight and twelve:

The greatest common factor of 8 and 12 is 4. Because the factor of 8 is 1, 2,4,8, 12 and the factor of 8 is 1, 2,3,4,6, 12. If an integer is a factor of several integers at the same time, it is called their common factor; The greatest common factor is called the greatest common factor.

Maximum common factor:

The greatest common divisor (GCD), also known as the highest common factor (HCF) and the greatest common factor, is a mathematical concept and refers to the greatest divisor of two or more integers.

If the number A is divisible by the number B, it is called a multiple of B and B and a divisor ... Both divisor and multiple represent the relationship between an integer and another integer and cannot exist independently. If we can only say that 16 is a multiple of a certain number and 2 is a divisor of a certain number, then we cannot say that 16 is a multiple and 2 is a divisor in isolation.

The basic solution of the greatest common factor;

Prime factor decomposition method;

Decompose each number into prime factors, then extract all the common prime factors in each number and multiply them. The product obtained is the greatest common divisor of these numbers. Firstly, several numbers are decomposed into prime factors, and then all the common prime factors in each number are extracted and multiplied by the unique prime factor, and the product obtained is the least common multiple of these numbers. Pay attention to distinguish between these two concepts.

Short division:

Find the greatest common divisor by short division, divide the common divisors of these numbers continuously until all the vendors are coprime, and then multiply all the common divisors to get the product that is the greatest common divisor of these numbers. The essence of short division is prime factor decomposition method, which only decomposes prime factors with short division symbols.

By stage:

Division by division is a method to find the greatest common divisor of two natural numbers, also called Euclid algorithm. To find the greatest common divisor of several numbers, you can first find the greatest common divisor of any two numbers, then find the greatest common divisor of this greatest common divisor and the third number, and then proceed in turn until the last number. The final result is the greatest common divisor of these numbers.