GCF for 90 and 140

What is the Greatest common Divisor of 90 and 140?

Answer: GCF of 90 and 140 is 10

(Ten)

Finding GCF for 90 and 140 using all factors (divisors) listing

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

So the Greatest Common Factor for 90 and 140 is 10

Finding GCF for 90 and 140 by Prime Factorization

The second method to find GCF for numbers 90 and 140 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 140: 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
751405
761404
771407
781402
791401
80140
811401
821402
831401
84140
851405
861402
871401
881404
891401
9014010
911407
921404
931401
941402
951405
961404
971401
9814014
991401
100140
1011401
1021402
1031401
1041404

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 140? (The answer is: 10). Select the first number (e.g. '90') and the second number (e.g. '140'). 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 140?

GCF of 90 and 140 is 10