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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.
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ViviAnswer: 6
Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common.
Method:
One way to determine the common factors and 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 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, and 6. Therefore, the greatest common factor is 6.
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What is the greatest common factor of 42 and 72?
The greatest common factor of 42 and 72 is 6 Gcf stands for Greatest Common Factor, The gcf of 42 and 72 is the largest positive number that is a factor of both 42 and 72. The positive factors of 42 (the integral divisors of 42) are: 1, 2, 3, 6, 7, 14, 21, and 42. The positive factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 36, and 72. Therefore the gcf of 42 and 72 is 6, as the greatest factor that 42 and 72 have in common.
What is the greatest common factor of 42 54 and 72?
The GCF is 6.
What is the greatest common factor of 24 42 and 72?
Oh, dude, the greatest common factor of 24, 42, and 72 is 6. It's like the superhero that swoops in and saves the day by being the biggest number that can divide evenly into all those numbers. So yeah, 6 is the MVP in this math problem.
What is the greatest common factor of 88 and 72?
The greatest common factor of 88 and 72 is 8.
What is the greatest common factor of 72 and 144?
The GCF of 72 and 144 is 72. Since 72 is a factor of 144, it is automatically the GCF.
