The factors of 25 are:
1, 5, 25
The factors of 75 are:
1, 3, 5, 15, 25, 75
The factors of 115 are:
1, 5, 23, 115
The common factors are:
1, 5
The Greatest Common Factor (GCF) is:
5
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The greatest common factor (GCF) of 25, 75, and 115 is 5. To find the GCF, we need to determine the largest number that divides evenly into all three numbers. By breaking down each number into its prime factors (25 = 5^2, 75 = 5^2 * 3, 115 = 5 * 23) and identifying the common factors, we find that the highest common factor is 5.
Multiply grouped, common, prime factors to get the GCF: 25 = 5 * 5 75 = 3 * 5 * 5 115 = 5 * 23 GCF = 5
Here 25 divides 75 so, GCF of 25 and 75 is 25.
It's the same as gcf(gcf(75, 100), 175). In other words, you can first use Euclid's algorithm to find the gcf of 75 and 100; then you can calculate the gcf of the result with 175. To help you get started, by Euclid's algorithm, the gcf of 75 and 100 is the same as the gcf of 75 and 25 (where 25 is the remnainder of the division of 100 / 75).
The GCF is 25.
The GCF is 25.