GCF for 90 and 210

What is the Greatest common Divisor of 90 and 210?

Answer: GCF of 90 and 210 is 30

(Thirty)

Finding GCF for 90 and 210 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 210 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 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

So the Greatest Common Factor for 90 and 210 is 30

Finding GCF for 90 and 210 by Prime Factorization

The second method to find GCF for numbers 90 and 210 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 210: 2, 3, 5, 7

As we can see there are Prime Factors common to both numbers: 2, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

GCF Table

Number 1Number 2GCF
7521015
762102
77210
782106
792101
8021010
812103
822102
832101
8421042
852105
862102
872103
882102
892101
90210
912107
922102
932103
942102
952105
962106
972101
9821014
992103
10021010
1012101
1022106
1032101
1042102

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 210? (The answer is: 30). Select the first number (e.g. '90') and the second number (e.g. '210'). 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 210?

GCF of 90 and 210 is 30