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What is the greatest common factor of 71 and 355?

Updated: 8/20/2019
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12y ago

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The GCF is 71.

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12y ago
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Q: What is the greatest common factor of 71 and 355?
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What are the factors and prime factors of 355?

355 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 4 factors of 355 are 1, 5, 71, and 355.The factor pairs of 355 are 1 x 355 and 5 x 71.The proper factors of 355 are 1, 5, and 71 or,if the definition you are using excludes 1, they are 5 and 71.The prime factors of 355 are 5 and 71.The 2 distinct prime factors (listing each prime factor only once) of 355 are 5 and 71The prime factorization of 355 is 5 x 71.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.


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There is neither a greatest common factor nor common factors of a single number, such as 1420 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 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, and 1420. The prime factors of 1420 are 2, 2, 5, and 71. Examples: The greatest common factor of 32 and 1420 is 4. The greatest common factor of 213 and 1420 is 71. The greatest common factor of 580 and 1420 is 20.


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