GCF for 120 and 360

What is the Greatest common Divisor of 120 and 360?

Answer: GCF of 120 and 360 is 120

(One hundred twenty)

Finding GCF for 120 and 360 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 360 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 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

So the Greatest Common Factor for 120 and 360 is 120

Finding GCF for 120 and 360 by Prime Factorization

The second method to find GCF for numbers 120 and 360 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 360: 2, 2, 2, 3, 3, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 × 5 = 120

See Also

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 360? (The answer is: 120). Select the first number (e.g. '120') and the second number (e.g. '360'). 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

GCF Table

Number 1Number 2GCF
10536015
1063602
1073601
108360
1093601
11036010
1113603
1123608
1133601
1143606
1153605
1163604
1173609
1183602
1193601
120360
1213601
1223602
1233603
1243604
1253605
12636018
1273601
1283608
1293603
13036010
1313601
13236012
1333601
1343602

FAQ

What is the Greatest common Divisor of 120 and 360?

GCF of 120 and 360 is 120