What is the greatest common factor of 85 and 119?
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Greatest Common Divisor explained here
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What is the GCF of 85 and 119?
The first step to find the gcf of 85 and 119 is to list the factors of each number. The factors of 85 are 1, 5, 17 and 85. The factors of 119 are 1, 7, 17 and 119. So, the Greatest Common Factor for these numbers is 17 because it divides all them without a remainder. Read more about Common Factors below.
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(85,119).
In this case we have:
- The factors of 85 (all the whole numbers that can divide the number without a remainder) are 1, 5, 17 and 85;
- The factors of 119 are 1, 7, 17 and 119.
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 85 and 119 is 17. The GCF is the largest common positive integer that divides all the numbers (85,119) 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