GCF for 36 and 54
"Greatest Common Factor" Calculator
What is the Greatest common Divisor of 36 and 54?
Answer: GCF of 36 and 54 is 18
(Eighteen)
Finding GCF for 36 and 54 using all factors (divisors) listing
The first method to find GCF for numbers 36 and 54 is to list all factors for both numbers and pick the highest common one:
All factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
All factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
So the Greatest Common Factor for 36 and 54 is 18
Finding GCF for 36 and 54 by Prime Factorization
The second method to find GCF for numbers 36 and 54 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 36: 2, 2, 3, 3
All Prime Factors of 54: 2, 3, 3, 3
As we can see there are Prime Factors common to both numbers: 2, 3, 3
Now we need to multiply them to find GCF: 2 × 3 × 3 = 18
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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About "Greatest Common Factor" Calculator
This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 36 and 54? (The answer is: 18). Select the first number (e.g. '36') and the second number (e.g. '54'). After that hit the 'Calculate' button.
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