GCF for 15 and 60

What is the Greatest common Divisor of 15 and 60?

Answer: GCF of 15 and 60 is 15

(Fifteen)

Finding GCF for 15 and 60 using all factors (divisors) listing

The first method to find GCF for numbers 15 and 60 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 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

So the Greatest Common Factor for 15 and 60 is 15

Finding GCF for 15 and 60 by Prime Factorization

The second method to find GCF for numbers 15 and 60 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 60: 2, 2, 3, 5

As we can see there are Prime Factors common to both numbers: 3, 5

Now we need to multiply them to find GCF: 3 × 5 = 15

GCF Table

Number 1Number 2GCF
1601
2602
3603
4604
5605
6606
7601
8604
9603
1060
11601
1260
13601
14602
1560
1660
17601
1860
19601
2060
2160
22602
23601
2460
2560
26602
27603
2860
29601
3060

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 60? (The answer is: 15). Select the first number (e.g. '15') and the second number (e.g. '60'). 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 15 and 60?

GCF of 15 and 60 is 15