GCF for 45 and 100

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 45 and 100?

Answer: GCF of 45 and 100 is 5

(Five)

Finding GCF for 45 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 45 and 100 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 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

So the Greatest Common Factor for 45 and 100 is 5

Finding GCF for 45 and 100 by Prime Factorization

The second method to find GCF for numbers 45 and 100 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 100: 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 100

Related Calculations

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 100? (The answer is: 5). Select the first number (e.g. '45') and the second number (e.g. '100'). 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
3010010
311001
321004
331001
341002
351005
361004
371001
381002
391001
4010020
411001
421002
431001
441004
451005
461002
471001
481004
491001
5010050
511001
521004
531001
541002
551005
561004
571001
581002
591001

FAQ

What is the Greatest common Divisor of 45 and 100?

GCF of 45 and 100 is 5

See Also