GCF for 52 and 68

What is the Greatest common Divisor of 52 and 68?

Answer: GCF of 52 and 68 is 4

(Four)

Finding GCF for 52 and 68 using all factors (divisors) listing

The first method to find GCF for numbers 52 and 68 is to list all factors for both numbers and pick the highest common one:

All factors of 52: 1, 2, 4, 13, 26, 52

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

So the Greatest Common Factor for 52 and 68 is 4

Finding GCF for 52 and 68 by Prime Factorization

The second method to find GCF for numbers 52 and 68 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 52: 2, 2, 13

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

Related Calculations

GCF Table

Number 1Number 2GCF
37681
38682
39681
40684
41681
42682
43681
44684
45681
46682
47681
4868
49681
50682
5168
52684
53681
54682
55681
5668
5768
58682
59681
6068
61681
62682
63681
64684
65681
66682

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 52 and 68? (The answer is: 4). Select the first number (e.g. '52') 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

FAQ

What is the Greatest common Divisor of 52 and 68?

GCF of 52 and 68 is 4