GCF for 15 and 69

What is the Greatest common Divisor of 15 and 69?

Answer: GCF of 15 and 69 is 3

(Three)

Finding GCF for 15 and 69 using all factors (divisors) listing

The first method to find GCF for numbers 15 and 69 is to list all factors for both numbers and pick the highest common one:

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

All factors of 69: 1, 3, 23, 69

So the Greatest Common Factor for 15 and 69 is 3

Finding GCF for 15 and 69 by Prime Factorization

The second method to find GCF for numbers 15 and 69 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 15: 3, 5

All Prime Factors of 69: 3, 23

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 15 and 69

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 15 and 69? (The answer is: 3). Select the first number (e.g. '15') and the second number (e.g. '69'). 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

GCF Table

Number 1Number 2GCF
1691
2691
3693
4691
5691
6693
7691
8691
9693
10691
11691
12693
13691
14691
1569
16691
17691
18693
19691
20691
21693
22691
2369
24693
25691
26691
27693
28691
29691
30693

FAQ

What is the Greatest common Divisor of 15 and 69?

GCF of 15 and 69 is 3