GCF for 120 and 180

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 120 and 180?

Answer: GCF of 120 and 180 is 60

(Sixty)

Finding GCF for 120 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 180 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 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

So the Greatest Common Factor for 120 and 180 is 60

Finding GCF for 120 and 180 by Prime Factorization

The second method to find GCF for numbers 120 and 180 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 180: 2, 2, 3, 3, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 3 × 5 = 60

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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 120 and 180? (The answer is: 60). Select the first number (e.g. '120') and the second number (e.g. '180'). 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
10518015
1061802
1071801
10818036
1091801
11018010
1111803
1121804
1131801
1141806
1151805
1161804
1171809
1181802
1191801
12018060
1211801
1221802
1231803
1241804
1251805
12618018
1271801
1281804
1291803
13018010
1311801
13218012
1331801
1341802

FAQ

What is the Greatest common Divisor of 120 and 180?

GCF of 120 and 180 is 60

See Also