GCF for 12 and 9
What is the Greatest Common Divisor of 12 and 9?
Answer
(Three)
Finding GCF for 12 and 9 using all factors (divisors) listing
The first method to find GCF for numbers 12 and 9 is to list all factors for both numbers and pick the highest common one:
All factors of 12: 1, 2, 3, 4, 6, 12
All factors of 9: 1, 3, 9
So the Greatest Common Factor for 12 and 9 is 3
Finding GCF for 12 and 9 by Prime Factorization
The second method to find GCF for numbers 12 and 9 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 12: 2, 2, 3
All Prime Factors of 9: 3, 3
As we can see there is only one Prime Factor common to both numbers. It is 3
So 3 is the Greatest Common Factor of 12 and 9
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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GCF Table
About "Greatest Common Factor" Calculator
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.