If you've ever been asked to find the GCF, or Greatest Common Factor, of a series of numbers or algebraic expressions, check out this video to learn how.

The methods for finding the greatest common factor for a series of numbers and for an algebraic expression are similar.

Step 1: Determine for a series of numbers

Factor each number in a series of numbers completely into its primes; identify the common factors for each number; and then multiply the common factors together.

TIP: A prime number is a positive integer that is not itself the product of two smaller positive integers.

Step 2: Use 18 and 27

Use the numbers 18 and 27 as an example. The primes of 18 are three, three, and two. The primes of 27 are three, three, and three. So the greatest common factor is three times three, or nine.

Step 3: Determine the greatest common factor for algebraic expressions

Identify all of the common factors in a series of algebraic expressions.

Step 4: factor 60x2y and 210xy2

Use the expressions the common factors of the first expression are two, two, three, five, x, x, and y. The common factors in the second expression are two, three, five, seven, x, y, and y. So the greatest common factor is two times three times five times x times y, or 30xy.

Did you know? The third century B.C.E. mathematician Euclid developed an algorithm for finding the greatest common factor of two natural numbers or two polynomials.

**Want to master Microsoft Excel and take your work-from-home job prospects to the next level?** Jump-start your career with our Premium A-to-Z Microsoft Excel Training Bundle from the new Gadget Hacks Shop and get lifetime access to more than 40 hours of Basic to Advanced instruction on functions, formula, tools, and more.

Other worthwhile deals to check out:

- 97% off The Ultimate 2021 White Hat Hacker Certification Bundle
- 98% off The 2021 Accounting Mastery Bootcamp Bundle
- 99% off The 2021 All-in-One Data Scientist Mega Bundle
- 59% off XSplit VCam: Lifetime Subscription (Windows)
- 98% off The 2021 Premium Learn To Code Certification Bundle
- 62% off MindMaster Mind Mapping Software: Perpetual License
- 41% off NetSpot Home Wi-Fi Analyzer: Lifetime Upgrades

## Be the First to Comment

## Share Your Thoughts