GCF for 36 and 100

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 36 and 100?

Answer: GCF of 36 and 100 is 4

(Four)

Finding GCF for 36 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 100 is to list all factors for both numbers and pick the highest common one:

All factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

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

So the Greatest Common Factor for 36 and 100 is 4

Finding GCF for 36 and 100 by Prime Factorization

The second method to find GCF for numbers 36 and 100 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 36: 2, 2, 3, 3

All Prime Factors of 100: 2, 2, 5, 5

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

Now we need to multiply them to find GCF: 2 × 2 = 4

Related Calculations

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 36 and 100? (The answer is: 4). Select the first number (e.g. '36') 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
211001
221002
231001
241004
2510025
261002
271001
281004
291001
3010010
311001
321004
331001
341002
351005
361004
371001
381002
391001
4010020
411001
421002
431001
441004
451005
461002
471001
481004
491001
5010050

FAQ

What is the Greatest common Divisor of 36 and 100?

GCF of 36 and 100 is 4

See Also