GCF for 42 and 60

What is the Greatest Common Factor of 42 and 60?

Answer: GCF of 42 and 60 is 6

(Six)

Finding GCF for 42 and 60 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 60 is to list all factors for both numbers and pick the highest common one:

All factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

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

So the Greatest Common Factor for 42 and 60 is 6

Finding GCF for 42 and 60 by Prime Factorization

The second method to find GCF for numbers 42 and 60 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 42: 2, 3, 7

All Prime Factors of 60: 2, 2, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 3

Now we need to multiply them to find GCF: 2 Γ— 3 = 6

GCF Table

Number 1Number 2GCF
27603
2860
29601
3060
31601
3260
33603
34602
3560
3660
37601
38602
39603
4060
41601
4260
43601
44604
4560
46602
47601
4860
49601
5060
51603
52604
53601
5460
55605
5660

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 42 and 60? (The answer is: 6). Select the first number (e.g. '42') 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 Factor of 42 and 60?

GCF of 42 and 60 is 6