Chapter 1 - Foundations for Algebra - Get Ready! - Page 1: 2

The Greatest Common Factor of 25 and 35 is 5 The factors of 25 are {1, 5, 25} and the factors of 35 are {1, 5, 7, 35}. Factors are numbers that are multiplied to get another number. The factors, in this case, can be found by dividing the numbers for all possible combinations. Therefore, the factors of 25 are 1, 5 and 25 and the factors of 35 are 1, 5, 7 and 35. The greatest common number is the largest number that can be found in both factors of the numbers. The greatest common number in those sets is 5. The Greatest Common Factor is the largest factor that is in both sets.

Work Step by Step

The factors of 25 are {1, 5, 25} and the factors of 35 are {1, 5, 7, 35}. Factors are numbers that are multiplied to get another number. The factors, in this case, can be found by dividing the numbers for all possible combinations. Therefore, the factors of 25 are 1, 5 and 25 and the factors of 35 are 1, 5, 7 and 35. The greatest common number is the largest number that can be found in both factors of the numbers. The greatest common number in those sets is 5. The Greatest Common Factor is the largest factor that is in both sets.

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