GCF for 120 and 250

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 120 and 250?

Answer: GCF of 120 and 250 is 10

(Ten)

Finding GCF for 120 and 250 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 250 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 250: 1, 2, 5, 10, 25, 50, 125, 250

So the Greatest Common Factor for 120 and 250 is 10

Finding GCF for 120 and 250 by Prime Factorization

The second method to find GCF for numbers 120 and 250 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 250: 2, 5, 5, 5

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

Related Calculations

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What is the GCF of 120 and 250. Find the GCF (GCD) of 250 and 120 - the biggest number that can divide two integers.
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GCF Table

Number 1Number 2GCF
1052505
1062502
1072501
1082502
1092501
11025010
1112501
1122502
1132501
1142502
1152505
1162502
1172501
1182502
1192501
12025010
1212501
1222502
1232501
1242502
125250125
1262502
1272501
1282502
1292501
13025010
1312501
1322502
1332501
1342502

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 250? (The answer is: 10). Select the first number (e.g. '120') and the second number (e.g. '250'). 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 250?

GCF of 120 and 250 is 10

See Also