Q: What is the greatest common factor of 4x3 and 3x8?

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The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers. The Greatest Common Factor (GCF) of 12, 16, and 28 is 4. The GCF is 4.

because 4X3=12

4x2(4x3 + 3)

1x12, 2x6, 3x4, 4x3, 6x2 1x12 1x12, 2x6, 3x4, 4x3, 6x2 1x12

The Greatest Common Factor (GCF) of 84, 63, and 42 is 21. The greatest common factor is either the difference between the numbers or a factor of the difference between the numbers. Note: 84 - 63 = 21 and 63 - 42 = 21. So, the greatest common factor might be 21. When you divide each of the numbers by 21, it divides evenly, so 21 is the greatest common factor. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The factors of 63 are 1, 3, 7, 9, 21, and 63. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. The common factors are 1, 3, 7, and 21. Therefore, the greatest common factor is 21. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 42 are 2, 3, and 7. The prime factors of 63 are 3, 3, and 7. The prime factors of 84 are 2, 2, 3, and 7. The prime factors in common are 3 and 7, so the greatest common factor is 3 x 7 = 21. 21 is the only positive integer that exhibits the Perfect Progression where if the multiples of 21 up to 210 are placed in to two parallel vertical columns so that the first reads 2, 4, 6, 8, 10 etc and the second 1, 2, 3, 4, 5 etc for example, 2 4 4 2 6 3 8 4 10 5 whereby each in one column multiplied by another number ordered diagonally in the other column equals the multiplication of the opposite diagonal, for example, 2x2 and 1x4 both equal 4, then both opposite diagonal numbers 4x3 and 2x6 equal 12, then both opposite diagonal numbers 6x4 and 3x8 equal 24 and so on.

Related questions

Take out the common factor, which in this case is 4x2. Divide each of the terms by this common factor. 12x2 - 4x3 = 4x2(3+x)

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers. The Greatest Common Factor (GCF) of 12, 16, and 28 is 4. The GCF is 4.

The GCF for the numerical part is 2 . The factors for x2 are xâ‹…x x â‹… x . The factor for x1 is x itself

4x(x2 - 2)

because 4X3=12

The factors of 4 are 1x4, 2x2, 4x1 = 1, 2 and 4. The factors of 8 are 1x8, 2x4, 4x2, 8x1 = 1, 2, 4 and 8. The factors of 12 are 1x12, 2x6, 3x4, 4x3, 6x2 and 12x1 = 1, 2, 3, 4, 6 and 12. The common factors are therefore 1, 2 and 4, thus the greatest common factor is 4.

The lowest common factor of any set of integers is 1.

4x3+12x2+3x+9

4x2(4x3 + 3)

1x12, 2x6, 3x4, 4x3, 6x2 1x12 1x12, 2x6, 3x4, 4x3, 6x2 1x12

The Greatest Common Factor (GCF) of 84, 63, and 42 is 21. The greatest common factor is either the difference between the numbers or a factor of the difference between the numbers. Note: 84 - 63 = 21 and 63 - 42 = 21. So, the greatest common factor might be 21. When you divide each of the numbers by 21, it divides evenly, so 21 is the greatest common factor. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The factors of 63 are 1, 3, 7, 9, 21, and 63. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. The common factors are 1, 3, 7, and 21. Therefore, the greatest common factor is 21. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 42 are 2, 3, and 7. The prime factors of 63 are 3, 3, and 7. The prime factors of 84 are 2, 2, 3, and 7. The prime factors in common are 3 and 7, so the greatest common factor is 3 x 7 = 21. 21 is the only positive integer that exhibits the Perfect Progression where if the multiples of 21 up to 210 are placed in to two parallel vertical columns so that the first reads 2, 4, 6, 8, 10 etc and the second 1, 2, 3, 4, 5 etc for example, 2 4 4 2 6 3 8 4 10 5 whereby each in one column multiplied by another number ordered diagonally in the other column equals the multiplication of the opposite diagonal, for example, 2x2 and 1x4 both equal 4, then both opposite diagonal numbers 4x3 and 2x6 equal 12, then both opposite diagonal numbers 6x4 and 3x8 equal 24 and so on.

x4 - 4x3 - 12x2 -32x + 64 (x - 4)(x + 2)(x + 2)(x - 4)