GCF for 68 and 102

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 68 and 102?

Answer: GCF of 68 and 102 is 34

(Thirty-four)

Finding GCF for 68 and 102 using all factors (divisors) listing

The first method to find GCF for numbers 68 and 102 is to list all factors for both numbers and pick the highest common one:

All factors of 68: 1, 2, 4, 17, 34, 68

All factors of 102: 1, 2, 3, 6, 17, 34, 51, 102

So the Greatest Common Factor for 68 and 102 is 34

Finding GCF for 68 and 102 by Prime Factorization

The second method to find GCF for numbers 68 and 102 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 68: 2, 2, 17

All Prime Factors of 102: 2, 3, 17

As we can see there are Prime Factors common to both numbers: 2, 17

Now we need to multiply them to find GCF: 2 × 17 = 34

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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 68 and 102? (The answer is: 34). Select the first number (e.g. '68') and the second number (e.g. '102'). 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
531021
541026
551021
561022
571023
581022
591021
601026
611021
621022
631023
641022
651021
661026
671021
6810234
691023
701022
711021
721026
731021
741022
751023
761022
771021
781026
791021
801022
811023
821022

FAQ

What is the Greatest common Divisor of 68 and 102?

GCF of 68 and 102 is 34

See Also