Examples, solutions, videos, worksheets, stories and songs to help Grade 6 students learn how to find the greatest common factor using prime factorization.
Greatest Common Factor using prime factorization
The greatest common factor of two numbers is the biggest integer that can divide both numbers without leaving a remainder.
The greatest common factor is the product of the prime factors shared by the two numbers.
Example:
Find the greatest common factor (GCF) of 30 and 105.
GCF and prime factorization
Example:
Find the GCF of 35, 25 and 75.
More GCF using prime factorization
Example:
Find the GCF of 504, 180 and 220.
Divisibility Rules, Prime Factorization, GCF and LCM
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.