GCF of 9 and 45 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 9 and 45?

Answer

GCF of 9 and 45 is 9

(Nine)

Finding GCF for 9 and 45 using all factors (divisors) listing

The first method to find GCF for numbers 9 and 45 is to list all factors for both numbers and pick the highest common one:

All factors of 9: 1, 3, 9

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

So the Greatest Common Factor for 9 and 45 is 9

Finding GCF for 9 and 45 by Prime Factorization

The second method to find GCF for numbers 9 and 45 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 9: 3, 3

All Prime Factors of 45: 3, 3, 5

As we can see there are Prime Factors common to both numbers: 3, 3

Now we need to multiply them to find GCF: 3 × 3 = 9

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 9 and 45? (The answer is: 9). Select the first number (e.g. '9') and the second number (e.g. '45'). 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
9189
9191
9201
9213
9221
9231
9243
9251
9261
9279
9291
9303
9311
9321
9333
9341
9351
9369
9393
9401
9423
9441
9459
9461
9483
9491
9501
9521
9549
9561

FAQ

What is the Greatest Common Divisor of 9 and 45?

GCF of 9 and 45 is 9

How to find the GCF of 9 and 45?

You can find the GCF of 9 and 45 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 45 is 9.