Best Answer

The greatest common factor of 28 and 77 is 7.

One way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 28 are 1, 2, 4, 7, 14, and 28.

The factors of 77 are 1, 7, 11, and 77.

The common factors are 1 and 7. Therefore, the greatest common factor is 7.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 28 are 2, 2, and 7.

The prime factors of 77 are 7 and 11.

The prime factors in common are a single 7, so the greatest common factor is 7.

Summary of results:

The common factors are 1 and 7.

The greatest common factor is 7.

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Q: What is the greatest common factor of 28 and 77?

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There is not a greatest common factor of a single number, such as 77, because there cannot be a greatest 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 77 are 1, 7, 11, and 77. The prime factors of 77 are 7 and 11. Examples: The greatest common factor of 63 and 77 is 7. The greatest common factor of 74 and 77 is 1. The greatest common factor of 77 and 121 is 11.

The greatest common factor of the numbers 22, 77 and 11 is 11.