Question

The factors of 52 and the first three factors of 130 are listed in the table below. Fill in the remaining five factors of 130 and then identify the greatest common factor, or GCF, of 52 and 130.

Type the multiples in the increasing order.
130: 1, 2, 5,

GCF of 52 and 130:

Answer 1

To find the remaining factors of 130, divide 130 by numbers starting from 6 until a number greater than the square root of 130 is reached. The GCF of 52 and 130 is 13.

Step-by-step explanation:

To find the remaining factors of 130, we need to determine all the numbers that divide evenly into 130. We've already identified the first three factors, which are 1, 2, and 5. To find the remaining factors, we can divide 130 by each number starting from 6 and continuing until we reach a number that is greater than the square root of 130. The remaining factors of 130 are 10, 13, 26, 65, and 130.

The greatest common factor (GCF) of 52 and 130 is the largest number that divides evenly into both 52 and 130. To find the GCF, we can list the factors of each number and identify the common factors. The factors of 52 are 1, 2, 4, 13, 26, and 52. The factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130. The common factors are 1, 2, and 13. Therefore, the GCF of 52 and 130 is 13.

Answer 2

Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130

GCF of 52 and 130 is 26

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