GCF for 90 and 280

What is the Greatest common Divisor of 90 and 280?

Answer: GCF of 90 and 280 is 10

(Ten)

Finding GCF for 90 and 280 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 280 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 280: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

So the Greatest Common Factor for 90 and 280 is 10

Finding GCF for 90 and 280 by Prime Factorization

The second method to find GCF for numbers 90 and 280 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 280: 2, 2, 2, 5, 7

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
752805
762804
772807
782802
792801
80280
812801
822802
832801
8428028
852805
862802
872801
882808
892801
9028010
912807
922804
932801
942802
952805
962808
972801
9828014
992801
10028020
1012801
1022802
1032801
1042808

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 280? (The answer is: 10). Select the first number (e.g. '90') and the second number (e.g. '280'). 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 280?

GCF of 90 and 280 is 10