GCF for 90 and 340

What is the Greatest Common Factor of 90 and 340?

Answer: GCF of 90 and 340 is 10

(Ten)

Finding GCF for 90 and 340 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 340 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 340: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

So the Greatest Common Factor for 90 and 340 is 10

Finding GCF for 90 and 340 by Prime Factorization

The second method to find GCF for numbers 90 and 340 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 340: 2, 2, 5, 17

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
753405
763404
773401
783402
793401
8034020
813401
823402
833401
843404
8534085
863402
873401
883404
893401
9034010
913401
923404
933401
943402
953405
963404
973401
983402
993401
10034020
1013401
10234034
1033401
1043404

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 Factor of 90 and 340? (The answer is: 10). Select the first number (e.g. '90') and the second number (e.g. '340'). 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 Factor of 90 and 340?

GCF of 90 and 340 is 10