GCF for 160 and 200

What is the Greatest common Divisor of 160 and 200?

Answer: GCF of 160 and 200 is 40

(Forty)

Finding GCF for 160 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 160 and 200 is to list all factors for both numbers and pick the highest common one:

All factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

All factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

So the Greatest Common Factor for 160 and 200 is 40

Finding GCF for 160 and 200 by Prime Factorization

The second method to find GCF for numbers 160 and 200 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 160: 2, 2, 2, 2, 2, 5

All Prime Factors of 200: 2, 2, 2, 5, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 5 = 40

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 160 and 200? (The answer is: 40). Select the first number (e.g. '160') 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
1452005
1462002
1472001
1482004
1492001
150200
1512001
1522008
1532001
1542002
1552005
1562004
1572001
1582002
1592001
160200
1612001
1622002
1632001
1642004
1652005
1662002
1672001
1682008
1692001
17020010
1712001
1722004
1732001
1742002

FAQ

What is the Greatest common Divisor of 160 and 200?

GCF of 160 and 200 is 40