GCF of 60 and 450 (Greatest Common Factor)

"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
6020020
602055
6021030
602155
6022020
6022515
602355
602455
6025010
6026020
602655
602755
6029010
6032020
603255
603355
6034515
603555
6037515
603855
6039030
6040020
6042060
604255
6043010
6043515
6045030
6046020
6047010
6049515

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.

What prime factors do 60 and 450 share?

The prime factorizations of 60 and 450 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/450?

Divide the numerator and the denominator by the GCF 30: 60 ÷ 30 = 2 and 450 ÷ 30 = 15. So 60/450 in lowest terms is 2/15.

See Also