GCF for 60 and 210

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 60 and 210?

Answer

GCF of 60 and 210 is 30

(Thirty)

Finding GCF for 60 and 210 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 210 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 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

So the Greatest Common Factor for 60 and 210 is 30

Finding GCF for 60 and 210 by Prime Factorization

The second method to find GCF for numbers 60 and 210 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 210: 2, 3, 5, 7

As we can see there are Prime Factors common to both numbers: 2, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

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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 210? (The answer is: 30). Select the first number (e.g. '60') and the second number (e.g. '210'). 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.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1 Number 2 GCF
45 210 15
46 210 2
47 210 1
48 210 6
49 210 7
50 210 10
51 210 3
52 210 2
53 210 1
54 210 6
55 210 5
56 210 14
57 210 3
58 210 2
59 210 1
60 210 30
61 210 1
62 210 2
63 210 21
64 210 2
65 210 5
66 210 6
67 210 1
68 210 2
69 210 3
70 210 70
71 210 1
72 210 6
73 210 1
74 210 2

FAQ

What is the Greatest Common Divisor of 60 and 210?
GCF of 60 and 210 is 30

How to find the GCF of 60 and 210?
You can find the GCF of 60 and 210 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 210 is 30.

See Also