GCF for 150 and 360

What is the Greatest common Divisor of 150 and 360?

Answer: GCF of 150 and 360 is 30

(Thirty)

Finding GCF for 150 and 360 using all factors (divisors) listing

The first method to find GCF for numbers 150 and 360 is to list all factors for both numbers and pick the highest common one:

All factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 150 and 360 is 30

Finding GCF for 150 and 360 by Prime Factorization

The second method to find GCF for numbers 150 and 360 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 150: 2, 3, 5, 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, 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 150 and 360? (The answer is: 30). Select the first number (e.g. '150') 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
13536045
1363608
1373601
1383606
1393601
14036020
1413603
1423602
1433601
14436072
1453605
1463602
1473603
1483604
1493601
150360
1513601
1523608
1533609
1543602
1553605
15636012
1573601
1583602
1593603
16036040
1613601
16236018
1633601
1643604

FAQ

What is the Greatest common Divisor of 150 and 360?

GCF of 150 and 360 is 30