GCF for 33 and 54
What is the Greatest Common Divisor of 33 and 54?
Answer
(Three)
Finding GCF for 33 and 54 using all factors (divisors) listing
The first method to find GCF for numbers 33 and 54 is to list all factors for both numbers and pick the highest common one:
All factors of 33: 1, 3, 11, 33
All factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
So the Greatest Common Factor for 33 and 54 is 3
Finding GCF for 33 and 54 by Prime Factorization
The second method to find GCF for numbers 33 and 54 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 33: 3, 11
All Prime Factors of 54: 2, 3, 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 33 and 54
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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.