GCF of 70 and 390 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor 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

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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 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.
"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
7025010
702555
7026010
7027010
7028070
7029010
7030010
703055
7031010
7031535
7032010
703255
7034010
703455
7035070
7037010
7038010
7038535
7039010
703955
7040010
7041010
7043010
7045010
7045535
704655
7049070
704955
7050010
70136535

FAQ

What is the Greatest Common Divisor of 70 and 390?

GCF of 70 and 390 is 10

How to find the GCF of 70 and 390?

You can find the GCF of 70 and 390 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 70 and 390 is 10.

What prime factors do 70 and 390 share?

The prime factorizations of 70 and 390 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 70/390?

Divide the numerator and the denominator by the GCF 10: 70 ÷ 10 = 7 and 390 ÷ 10 = 39. So 70/390 in lowest terms is 7/39.

See Also