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What is the greatest common factor of 42 72 and 84?
To find the greatest common factor (GCF) of 42, 72, and 84, you first need to find the factors of each number. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. The GCF of 42, 72, and 84 is the largest number that appears in the factors of all three numbers, which in this case is 6.
What is the greatest common factor of 72 and 84?
The GCF of 72 and 84 is 12. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. The common factors are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor is 12. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 72 are 2, 2, 2, 3, and 3. The prime factors of 84 are 2, 2, 3, and 7. The prime factors in common are 2, 2, and 3, so the greatest common factor is 2 x 2 x 3 = 12.
What is the least common multiple of 72 and 84?
The least common multiple of 72 and 84 is 504.504504
What is the greatest common factor of 84 72 24?
Since 72 is a multiple of 24, and the greatest common factor cannot be greater than the smallest number, the greatest common factor of 84, 72, and 24 will be the greatest common factor of 84 and 24. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. (The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.) The greatest common factor is 12. Or, you can look at the prime factors. The prime factors of 84 are 2, 2, 3, and 7. The prime factors of 24 are 2, 2, 2, and 3. (The prime factors of 72 are 2, 2, 2, 3, and 3.) The prime factors they have in common are 2, 2, and 3, so the greatest common factor is 2 x 2 x 3 = 12.
What are the common factors of 72 84 132?
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.The factors of 132 are: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132.The common factors are: 1, 2, 3, 4, 6, 12.
