What is the greatest common factor of 25 and 100?
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What is the GCF of 25 and 100?
The first step to find the gcf of 25 and 100 is to list the factors of each number. The factors of 25 are 1, 5 and 25. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50 and 100. So, the Greatest Common Factor for these numbers is 25 because it divides all them without a remainder. Read more about Common Factors below.
To use the GCD / GCF / HCF Calculator below just enter a set of numbers separated by commas (,).
How to find the Greatest Common Factor
The first step is to find all divisors of each number. For instance, let us find the gcf(25,100).
In this case we have:
- The factors of 25 (all the whole numbers that can divide the number without a remainder) are 1, 5 and 25;
- The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50 and 100.
The second step is to analyze which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 25 and 100 is 25. The GCF is the largest common positive integer that divides all the numbers (25,100) without a remainder.
The GCF is also known as:
- Greatest common divisor (gcd);
- Highest common factor (hcf);
- Greatest common measure (gcm), or
- Highest common divisor