Greatest Common Factor Calculator / Converter
You have reached us maybe looking for answers to the questions like: What is the greatest common factor of 28 and 35? or what is the highest common factor (HCF) of 28 and 35?
What is the GCF of 28 and 35?
The first step to find the gcf of 28 and 35 is to list the factors of each number. The factors of 28 are 1, 2, 4, 7, 14 and 28. The factors of 35 are 1, 5, 7 and 35. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder. Read more about Common Factors below.
See also:
- Least Common Multiplier (LCM) Calculator
- Fraction Calculator
- Equivalent Fractions Calculator
How to find the Greatest Common Factor
GCF example:
The first step is to find all divisors of each number. For instance, let us find the gcf(28, 35).
In this case we have:
- The factors of 28 (all the whole numbers that can divide the number without a remainder) are 1, 2, 4, 7, 14 and 28;
- The factors of 35 are 1, 5, 7 and 35.
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 28 and 35 is 7. The GCF is the largest common positive integer that divides all the numbers (28, 35) without a remainder.
In the name greatest common divisor, the adjective "greatest" may be replaced by "highest", and the word "divisor" may be replaced by "factor", so that other names include highest common factor (hcf), greatest common measure, among others.
So, the GCF is also known as:
- Greatest common divisor (gcd);
- Highest common factor (hcf);
- Greatest common measure (gcm), or
- Highest common divisor
Greatest Common Factor Calculator
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GCF Examples
- GCF of 5,8 and 14
- GCF of 11,13 and 13
- GCF of 11,11 and 14
- GCF of 4,7 and 15
- GCF of 9,9 and 12
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