GCF for 72 and 98

What is the Greatest common Divisor of 72 and 98?

Answer: GCF of 72 and 98 is 2

(Two)

Finding GCF for 72 and 98 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 98 is to list all factors for both numbers and pick the highest common one:

All factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

All factors of 98: 1, 2, 7, 14, 49, 98

So the Greatest Common Factor for 72 and 98 is 2

Finding GCF for 72 and 98 by Prime Factorization

The second method to find GCF for numbers 72 and 98 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 72: 2, 2, 2, 3, 3

All Prime Factors of 98: 2, 7, 7

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 72 and 98

Related Calculations

GCF Table

Number 1Number 2GCF
57981
58982
59981
60982
61981
62982
63987
64982
65981
66982
67981
68982
69981
7098
71981
72982
73981
74982
75981
76982
77987
78982
79981
80982
81981
82982
83981
8498
85981
86982

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 72 and 98? (The answer is: 2). Select the first number (e.g. '72') and the second number (e.g. '98'). 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 72 and 98?

GCF of 72 and 98 is 2