GCF for 60 and 200

What is the Greatest common Divisor of 60 and 200?

Answer: GCF of 60 and 200 is 20

(Twenty)

Finding GCF for 60 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 200 is to list all factors for both numbers and pick the highest common one:

All factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

So the Greatest Common Factor for 60 and 200 is 20

Finding GCF for 60 and 200 by Prime Factorization

The second method to find GCF for numbers 60 and 200 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 60: 2, 2, 3, 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, 5

Now we need to multiply them to find GCF: 2 × 2 × 5 = 20

GCF Table

Number 1Number 2GCF
45200
462002
472001
482008
492001
50200
512001
522004
532001
542002
552005
562008
572001
582002
592001
6020020
612001
622002
632001
642008
652005
662002
672001
682004
692001
7020010
712001
722008
732001
742002

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 60 and 200? (The answer is: 20). Select the first number (e.g. '60') 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

FAQ

What is the Greatest common Divisor of 60 and 200?

GCF of 60 and 200 is 20