GCF for 150 and 225

What is the Greatest common Divisor of 150 and 225?

Answer: GCF of 150 and 225 is 75

(Seventy-five)

Finding GCF for 150 and 225 using all factors (divisors) listing

The first method to find GCF for numbers 150 and 225 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 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

So the Greatest Common Factor for 150 and 225 is 75

Finding GCF for 150 and 225 by Prime Factorization

The second method to find GCF for numbers 150 and 225 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 225: 3, 3, 5, 5

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

Now we need to multiply them to find GCF: 3 × 5 × 5 = 75

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 225? (The answer is: 75). Select the first number (e.g. '150') and the second number (e.g. '225'). 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
13522545
1362251
1372251
1382253
1392251
1402255
1412253
1422251
1432251
1442259
1452255
1462251
1472253
1482251
1492251
150225
1512251
1522251
1532259
1542251
1552255
1562253
1572251
1582251
1592253
1602255
1612251
1622259
1632251
1642251

FAQ

What is the Greatest common Divisor of 150 and 225?

GCF of 150 and 225 is 75