GCF of 70 and 80 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 70 and 80?

Answer

GCF of 70 and 80 is
10

(Ten)

Finding GCF for 70 and 80 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 80 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 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

So the Greatest Common Factor for 70 and 80 is 10

Finding GCF for 70 and 80 by Prime Factorization

The second method to find GCF for numbers 70 and 80 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 80: 2, 2, 2, 2, 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

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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 80? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '80'). 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
70217
708010
708414
7010010
7010535
7011010
7013010
701355
7015010
7016010
701655
7017010
7017535
7018010
701855
702055
702155
7022010
702255
7023010
702355
7024535
7025010
702555
7026010
7027010
7028070
7029010
7030010
703055

FAQ

What is the Greatest Common Divisor of 70 and 80?

GCF of 70 and 80 is 10

How to find the GCF of 70 and 80?

You can find the GCF of 70 and 80 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 70 and 80 is 10.

What prime factors do 70 and 80 share?

The prime factorizations of 70 and 80 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 70/80?

Divide the numerator and the denominator by the GCF 10: 70 ÷ 10 = 7 and 80 ÷ 10 = 8. So 70/80 in lowest terms is 7/8.

See Also