GCF of 42 and 52 (Greatest Common Factor)
"Greatest Common Factor" Calculator
What is the Greatest Common Divisor of 42 and 52?
Answer
GCF of 42 and 52 is 2
(Two)
Finding GCF for 42 and 52 using all factors (divisors) listing
The first method to find GCF for numbers 42 and 52 is to list all factors for both numbers and pick the highest common one:
All factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
All factors of 52: 1, 2, 4, 13, 26, 52
So the Greatest Common Factor for 42 and 52 is 2
Finding GCF for 42 and 52 by Prime Factorization
The second method to find GCF for numbers 42 and 52 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 42: 2, 3, 7
All Prime Factors of 52: 2, 2, 13
As we can see there is only one Prime Factor common to both numbers. It is 2
So 2 is the Greatest Common Factor of 42 and 52
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 42 and 52? (The answer is: 2). Select the first number (e.g. '42') and the second number (e.g. '52'). 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.