What is the greatest common factor of 55 and 144?
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What is the GCF of 55 and 144?
The first step to find the gcf of 55 and 144 is to list the factors of each number. The factors of 55 are 1, 5, 11 and 55. The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144. So, the Greatest Common Factor for these numbers is 1 because it divides all them without a remainder. Read more about Common Factors below.
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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(55,144).
In this case we have:
- The factors of 55 (all the whole numbers that can divide the number without a remainder) are 1, 5, 11 and 55;
- The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.
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 55 and 144 is 1. The GCF is the largest common positive integer that divides all the numbers (55,144) 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