GCF for 65 and 100

What is the Greatest common Divisor of 65 and 100?

Answer: GCF of 65 and 100 is 5

(Five)

Finding GCF for 65 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 65 and 100 is to list all factors for both numbers and pick the highest common one:

All factors of 65: 1, 5, 13, 65

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

So the Greatest Common Factor for 65 and 100 is 5

Finding GCF for 65 and 100 by Prime Factorization

The second method to find GCF for numbers 65 and 100 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 65: 5, 13

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 65 and 100

GCF Table

Number 1Number 2GCF
50100
511001
52100
531001
54100
55100
56100
57100
581002
591001
60100
611001
621002
631001
64100
65100
661002
671001
681004
691001
70100
711001
72100
731001
74100
75100
76100
77100
781002
791001

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 65 and 100? (The answer is: 5). Select the first number (e.g. '65') 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

FAQ

What is the Greatest common Divisor of 65 and 100?

GCF of 65 and 100 is 5