GCF for 51 and 68
What is the Greatest Common Divisor of 51 and 68?
Answer
(Seventeen)
Finding GCF for 51 and 68 using all factors (divisors) listing
The first method to find GCF for numbers 51 and 68 is to list all factors for both numbers and pick the highest common one:
All factors of 51: 1, 3, 17, 51
All factors of 68: 1, 2, 4, 17, 34, 68
So the Greatest Common Factor for 51 and 68 is 17
Finding GCF for 51 and 68 by Prime Factorization
The second method to find GCF for numbers 51 and 68 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 51: 3, 17
All Prime Factors of 68: 2, 2, 17
As we can see there is only one Prime Factor common to both numbers. It is 17
So 17 is the Greatest Common Factor of 51 and 68
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.