GCF for 150 and 200

What is the Greatest common Divisor of 150 and 200?

Answer: GCF of 150 and 200 is 50

(Fifty)

Finding GCF for 150 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 150 and 200 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 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

So the Greatest Common Factor for 150 and 200 is 50

Finding GCF for 150 and 200 by Prime Factorization

The second method to find GCF for numbers 150 and 200 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 200: 2, 2, 2, 5, 5

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

Now we need to multiply them to find GCF: 2 × 5 × 5 = 50

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 200? (The answer is: 50). Select the first number (e.g. '150') and the second number (e.g. '200'). 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
1352005
1362008
1372001
1382002
1392001
14020020
1412001
1422002
1432001
1442008
1452005
1462002
1472001
1482004
1492001
150200
1512001
1522008
1532001
1542002
1552005
1562004
1572001
1582002
1592001
16020040
1612001
1622002
1632001
1642004

FAQ

What is the Greatest common Divisor of 150 and 200?

GCF of 150 and 200 is 50