GCF for 90 and 495

What is the Greatest common Divisor of 90 and 495?

Answer: GCF of 90 and 495 is 45

(Forty-five)

Finding GCF for 90 and 495 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 495 is to list all factors for both numbers and pick the highest common one:

All factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

All factors of 495: 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

So the Greatest Common Factor for 90 and 495 is 45

Finding GCF for 90 and 495 by Prime Factorization

The second method to find GCF for numbers 90 and 495 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 90: 2, 3, 3, 5

All Prime Factors of 495: 3, 3, 5, 11

As we can see there are Prime Factors common to both numbers: 3, 3, 5

Now we need to multiply them to find GCF: 3 × 3 × 5 = 45

Related Calculations

GCF Table

Number 1Number 2GCF
7549515
764951
7749511
784953
794951
804955
814959
824951
834951
844953
854955
864951
874953
8849511
894951
90495
914951
924951
934953
944951
954955
964953
974951
984951
9949599
1004955
1014951
1024953
1034951
1044951

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 90 and 495? (The answer is: 45). Select the first number (e.g. '90') and the second number (e.g. '495'). 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 90 and 495?

GCF of 90 and 495 is 45