GCF for 90 and 800

What is the Greatest common Divisor of 90 and 800?

Answer: GCF of 90 and 800 is 10

(Ten)

Finding GCF for 90 and 800 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 800 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 800: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

So the Greatest Common Factor for 90 and 800 is 10

Finding GCF for 90 and 800 by Prime Factorization

The second method to find GCF for numbers 90 and 800 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 800: 2, 2, 2, 2, 2, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 5

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
7580025
768004
778001
788002
798001
8080080
818001
828002
838001
848004
858005
868002
878001
888008
898001
9080010
918001
928004
938001
948002
958005
9680032
978001
988002
998001
100800100
1018001
1028002
1038001
1048008

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 800? (The answer is: 10). Select the first number (e.g. '90') and the second number (e.g. '800'). 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 800?

GCF of 90 and 800 is 10