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# What is the greatest common factor of 182 and 196?

Updated: 4/28/2022

Wiki User

15y ago

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.

Wiki User

15y ago

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Q: What is the greatest common factor of 182 and 196?
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### What is the greatest common factor of 196?

There is neither a greatest common factor nor common factors of a single number, such as 196 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 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. The prime factors of 196 are 2, 2, 7, and 7. Examples: The common factors of 32 and 196 are 1, 2, and 4; the greatest common factor is 4. The common factors of 50 and 196 are 1 and 2; the greatest common factor is 2. The common factors of 56 and 196 are 1, 2, 4, 7, 14, and 28; the greatest common factor is 28.

### What is the greatest common factor of 84 and 196?

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