GCF for 6 and 75

What is the Greatest Common Factor of 6 and 75?

Answer: GCF of 6 and 75 is 3

(Three)

Finding GCF for 6 and 75 using all factors (divisors) listing

The first method to find GCF for numbers 6 and 75 is to list all factors for both numbers and pick the highest common one:

All factors of 6: 1, 2, 3, 6

All factors of 75: 1, 3, 5, 15, 25, 75

So the Greatest Common Factor for 6 and 75 is 3

Finding GCF for 6 and 75 by Prime Factorization

The second method to find GCF for numbers 6 and 75 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 6: 2, 3

All Prime Factors of 75: 3, 5, 5

As we can see there is only one Prime Factor common to both numbers. It is 3

So 3 is the Greatest Common Factor of 6 and 75

Related Calculations

GCF Table

Number 1Number 2GCF
1751
2751
3753
4751
5755
6753
7751
8751
9753
10755
11751
1275
13751
14751
1575
16751
17751
18753
19751
20755
21753
22751
23751
24753
2575
26751
2775
28751
29751
3075

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 Factor of 6 and 75? (The answer is: 3). Select the first number (e.g. '6') and the second number (e.g. '75'). 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 Factor of 6 and 75?

GCF of 6 and 75 is 3