GCF for 60 and 70

What is the Greatest common Divisor of 60 and 70?

Answer: GCF of 60 and 70 is 10

(Ten)

Finding GCF for 60 and 70 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 70 is to list all factors for both numbers and pick the highest common one:

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

All factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

So the Greatest Common Factor for 60 and 70 is 10

Finding GCF for 60 and 70 by Prime Factorization

The second method to find GCF for numbers 60 and 70 is to list all Prime Factors for both numbers and multiply the common ones:

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

All Prime Factors of 70: 2, 5, 7

As we can see there are Prime Factors common to both numbers: 2, 5

Now we need to multiply them to find GCF: 2 × 5 = 10

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 60 and 70? (The answer is: 10). Select the first number (e.g. '60') and the second number (e.g. '70'). 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
4570
46702
47701
4870
49707
5070
51701
52702
53701
54702
55705
5670
57701
58702
59701
6070
61701
62702
63707
64702
65705
66702
67701
68702
69701
707070
71701
72702
73701
74702

FAQ

What is the Greatest common Divisor of 60 and 70?

GCF of 60 and 70 is 10