GCF for 120 and 450

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 120 and 450?

Answer: GCF of 120 and 450 is 30

(Thirty)

Finding GCF for 120 and 450 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 450 is to list all factors for both numbers and pick the highest common one:

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 120 and 450 is 30

Finding GCF for 120 and 450 by Prime Factorization

The second method to find GCF for numbers 120 and 450 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 120: 2, 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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What is the GCF of 120 and 450. Find the GCF (GCD) of 450 and 120 - the biggest number that can divide two integers.
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GCF Table

Number 1Number 2GCF
10545015
1064502
1074501
10845018
1094501
11045010
1114503
1124502
1134501
1144506
1154505
1164502
1174509
1184502
1194501
12045030
1214501
1224502
1234503
1244502
12545025
12645018
1274501
1284502
1294503
13045010
1314501
1324506
1334501
1344502

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 120 and 450? (The answer is: 30). Select the first number (e.g. '120') 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

FAQ

What is the Greatest common Divisor of 120 and 450?

GCF of 120 and 450 is 30

See Also