GCF for 70 and 390

What is the Greatest Common Factor of 70 and 390?

Answer: GCF of 70 and 390 is 10

(Ten)

Finding GCF for 70 and 390 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 390 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 390: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

So the Greatest Common Factor for 70 and 390 is 10

Finding GCF for 70 and 390 by Prime Factorization

The second method to find GCF for numbers 70 and 390 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 390: 2, 3, 5, 13

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
553905
563902
573903
583902
593901
6039030
613901
623902
633903
643902
6539065
663906
673901
683902
693903
7039010
713901
723906
733901
743902
7539015
763902
773901
7839078
793901
8039010
813903
823902
833901
843906

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 390? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '390'). 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 390?

GCF of 70 and 390 is 10