Question

Find the greatest common factor of the numbers.

54, 89

Short answer

The greatest common factor is 1.

Step-by-step solution

Step-1 – Define greatest common factor

A common factor is a whole number that is a factor of two or more nonzero whole numbers. The greatest of the common factors is the greatest common factor (GCF).

Step-2 – Factor the numbers

Factor both the numbers 54 and 89.

The factors of 54 are: $54=1\times 2\times 3\times 3\times 3$

The factors of 89 are: $89=1\times 89$

Step-3 – State the conclusion

There are no common prime factors. However, two numbers always have 1 as a common factor. So, the GCF is 1, and the numbers are relatively prime.