GCF for 120 and 300

What is the Greatest common Divisor of 120 and 300?

Answer: GCF of 120 and 300 is 60

(Sixty)

Finding GCF for 120 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 300 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 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 120 and 300 is 60

Finding GCF for 120 and 300 by Prime Factorization

The second method to find GCF for numbers 120 and 300 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 300: 2, 2, 3, 5, 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

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 300? (The answer is: 60). Select the first number (e.g. '120') and the second number (e.g. '300'). 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
10530015
1063002
1073001
10830012
1093001
11030010
1113003
1123004
1133001
1143006
1153005
1163004
1173003
1183002
1193001
120300
1213001
1223002
1233003
1243004
12530025
1263006
1273001
1283004
1293003
13030010
1313001
13230012
1333001
1343002

FAQ

What is the Greatest common Divisor of 120 and 300?

GCF of 120 and 300 is 60