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Tasha is correct. The simple subtraction problem 120 - 36 can be rewritten as the pointlessly obtuse (3 x 40) - (3 x 12) = 3 x 28 = 84. Left unexplained is why on earth she would want to do that.

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Q: Tasha believes that she can rewrite the difference 120-36 as a product of the greatest common factor of the two numbers and another diffetence is she correct explain your answer?
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What is the greatest common factor of 296 and 375?

The GCF of 296 and 375 is 1. The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 296 are 2, 2, 2, and 37. The prime factors of 375 are 3, 5, 5, and 5. They have no prime factors in common, so they are relatively prime, which means their greatest common factor is 1. Another way to approach this is to look at the difference between 296 and 375, which is 79. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference between the numbers. Since 79 is a prime number, the greatest common factor must be either 1 or 79. Since the numbers are not divisible by 79, the greatest common factor is 1.


What is the greatest common factor of 45 and 50?

One way to approach this is to look at the difference between 45 and 50, which is 5. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 45 and 50 are divisible by 5, the greatest common factor is 5. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 45 are 1, 3, 5, 9, 15, and 45. The factors of 50 are 1, 2, 5, 10, 25, and 50. The common factors are 1 and 5. Therefore, the greatest common factor is 5. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 45 are 3, 3, and 5. The prime factors of 50 are 2, 5, and 5. The prime factors in common are a single 5, so the greatest common factor is 5.


What is the greatest common factor of 140 and 168?

The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 140 are 2, 2, 5, and 7. The prime factors of 168 are 2, 2, 2, 3, and 7. The prime factors they have in common are 2, 2, and 7, so their greatest common factor is 2 x 2 x 7 = 28. Another way to approach this is to look at the difference between 140 and 168, which is 28. The greatest common factor of two numbers cannot be larger than the difference between the two numbers. Since both 140 and 168 are divisible by 28, the greatest common factor is 28.


What is the greatest common factor of 24 and 27?

The greatest common factor of 24 and 27 is 3One way to approach this is to look at the difference between 24 and 27, which is 3. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 24 and 27 are divisible by 3, the greatest common factor is 3.Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.The factors of 27 are 1, 3, 9, and 27.The common factors are 1 and 3. Therefore, the greatest common factor is 3.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 24 are 2, 2, 2, and 3.The prime factors of 27 are 3, 3, and 3.The prime factors in common are a single 3, so the greatest common factor is 3.Summary of results:The common factors are 1 and 3.The greatest common factor is 3


What is the greatest common factor of 182 and 196?

One way to approach this is to look at the difference between 182 and 196, which is 14. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 182 and 196 are divisible by 14, the greatest common factor is 14. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 182 are 1, 2, 7, 13, 14, 26, 91, and 182. The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. The common factors are 1, 2, 7, and 14. Therefore, the greatest common factor is 14. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 182 are 2, 7, and 13. The prime factors of 196 are 2, 2, 7, and 7. The prime factors in common are 2 and 7, so the greatest common factor is 2 x 7 = 14.

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What is the greatest common factor of 56 and 45?

Factors of 45: 1 3 5 9 15 45 Factors of 56 : 1 2 4 7 8 14 28 56 The GCF of 45 and 56 is 1 Another way to approach this is to look at the difference between 45 and 56, which is 11. The greatest common factor of two numbers cannot be larger than the difference between the two numbers. The greatest common factor of two numbers must also be a factor of the difference between the numbers. The difference, 11, is a prime number, so the greatest common factor must be either 11 or 1. Since the numbers are not evenly divisible by 11, the greatest common factor is 1.


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