GCF for 45 and 200

What is the Greatest common Divisor of 45 and 200?

Answer: GCF of 45 and 200 is 5

(Five)

Finding GCF for 45 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 45 and 200 is to list all factors for both numbers and pick the highest common one:

All factors of 45: 1, 3, 5, 9, 15, 45

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

So the Greatest Common Factor for 45 and 200 is 5

Finding GCF for 45 and 200 by Prime Factorization

The second method to find GCF for numbers 45 and 200 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 45: 3, 3, 5

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

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 45 and 200

Related Calculations

GCF Table

Number 1Number 2GCF
3020010
312001
322008
332001
342002
352005
36200
372001
382002
392001
40200
412001
422002
432001
442004
45200
462002
472001
482008
492001
50200
512001
522004
532001
542002
552005
562008
572001
582002
592001

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 45 and 200? (The answer is: 5). Select the first number (e.g. '45') 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 45 and 200?

GCF of 45 and 200 is 5