GCF for 10 and 5
"Greatest Common Factor" Calculator
What is the Greatest common Divisor of 10 and 5?
Answer: GCF of 10 and 5 is 5
(Five)
Finding GCF for 10 and 5 using all factors (divisors) listing
The first method to find GCF for numbers 10 and 5 is to list all factors for both numbers and pick the highest common one:
All factors of 10: 1, 2, 5, 10
All factors of 5: 1, 5
So the Greatest Common Factor for 10 and 5 is 5
Finding GCF for 10 and 5 by Prime Factorization
The second method to find GCF for numbers 10 and 5 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 10: 2, 5
As we can see there is only one Prime Factor common to both numbers. It is 5
So 5 is the Greatest Common Factor of 10 and 5
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 10 and 5? (The answer is: 5). Select the first number (e.g. '10') and the second number (e.g. '5'). 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