GCF for 70 and 270

What is the Greatest Common Factor of 70 and 270?

Answer: GCF of 70 and 270 is 10

(Ten)

Finding GCF for 70 and 270 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 270 is to list all factors for both numbers and pick the highest common one:

All factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

All factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

So the Greatest Common Factor for 70 and 270 is 10

Finding GCF for 70 and 270 by Prime Factorization

The second method to find GCF for numbers 70 and 270 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 70: 2, 5, 7

All Prime Factors of 270: 2, 3, 3, 3, 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
552705
562702
572703
582702
592701
6027030
612701
622702
632709
642702
652705
662706
672701
682702
692703
7027010
712701
7227018
732701
742702
7527015
762702
772701
782706
792701
8027010
8127027
822702
832701
842706

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 70 and 270? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '270'). 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 70 and 270?

GCF of 70 and 270 is 10