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Answer:
The greatest common factor of 174 and 268 is 2.
The common factors of 174 and 268 are 1 and 2.
Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.
Methods:
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 174 are 1, 2, 3, 6, 29, 58, 87, and 174.
The factors of 268 are 1, 2, 4, 67, 134, and 268.
The common factors are 1 and 2. Therefore, the greatest common factor is 2.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 174 are 2, 3, and 29.
The prime factors of 268 are 2, 2, and 67.
The prime factors they have in common are a single 2, so the greatest common factor is 2.
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What is the greatest common factor of 58 and 174?
The greatest common factor of 58 and 174 is 58.
What is the greatest common factor of 306 and 459?
Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 145, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. The factors of 145 are 1, 5, 29, and 145. Examples: The common factors of 30 and 145 are 1 and 5; the greatest common factor is 5. The common factors of 145 and 149 are only 1; the greatest common factor is 1. The common factors of 145 and 174 are 1 and 29; the greatest common factor is 29.
What is the greatest common factor of 276 and 348?
To find the greatest common factor (GCF) of 276 and 348, we first need to list the factors of each number. The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276. The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, and 348. The GCF is the largest number that both lists have in common, which in this case is 12. Therefore, the GCF of 276 and 348 is 12.
What is the prime factor of 174?
174 = 2 * 3 * 29
What is the least common multiple 29 and 174?
Since 174 is a multiple of 29, it is automatically the LCM of this problem.
