GCF for 60 and 450

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 60 and 450?

Answer

GCF of 60 and 450 is 30

(Thirty)

Finding GCF for 60 and 450 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 450 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 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

So the Greatest Common Factor for 60 and 450 is 30

Finding GCF for 60 and 450 by Prime Factorization

The second method to find GCF for numbers 60 and 450 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 450: 2, 3, 3, 5, 5

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 450? (The answer is: 30). Select the first number (e.g. '60') and the second number (e.g. '450'). 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 1Number 2GCF
4545045
464502
474501
484506
494501
5045050
514503
524502
534501
5445018
554505
564502
574503
584502
594501
6045030
614501
624502
634509
644502
654505
664506
674501
684502
694503
7045010
714501
7245018
734501
744502

FAQ

What is the Greatest Common Divisor of 60 and 450?

GCF of 60 and 450 is 30

How to find the GCF of 60 and 450?

You can find the GCF of 60 and 450 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 450 is 30.

See Also