GCF for 120 and 68

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 120 and 68?

Answer: GCF of 120 and 68 is 4

(Four)

Finding GCF for 120 and 68 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 68 is to list all factors for both numbers and pick the highest common one:

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

So the Greatest Common Factor for 120 and 68 is 4

Finding GCF for 120 and 68 by Prime Factorization

The second method to find GCF for numbers 120 and 68 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 120: 2, 2, 2, 3, 5

All Prime Factors of 68: 2, 2, 17

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

Now we need to multiply them to find GCF: 2 × 2 = 4

See Also

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 120 and 68? (The answer is: 4). Select the first number (e.g. '120') and the second number (e.g. '68'). 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
105681
106682
107681
108684
109681
110682
111681
112684
113681
114682
115681
116684
117681
118682
1196817
120684
121681
122682
123681
124684
125681
126682
127681
128684
129681
130682
131681
132684
133681
134682

FAQ

What is the Greatest common Divisor of 120 and 68?

GCF of 120 and 68 is 4

See Also