GCF for 120 and 150

What is the Greatest common Divisor of 120 and 150?

Answer: GCF of 120 and 150 is 30

(Thirty)

Finding GCF for 120 and 150 using all factors (divisors) listing

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

So the Greatest Common Factor for 120 and 150 is 30

Finding GCF for 120 and 150 by Prime Factorization

The second method to find GCF for numbers 120 and 150 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 150: 2, 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

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 150? (The answer is: 30). Select the first number (e.g. '120') and the second number (e.g. '150'). 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
10515015
1061502
1071501
1081506
1091501
11015010
1111503
1121502
1131501
1141506
1151505
1161502
1171503
1181502
1191501
120150
1211501
1221502
1231503
1241502
125150
1261506
1271501
1281502
1291503
13015010
1311501
1321506
1331501
1341502

FAQ

What is the Greatest common Divisor of 120 and 150?

GCF of 120 and 150 is 30