GCF of 170 and 300 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 170 and 300?

Answer

GCF of 170 and 300 is
10

(Ten)

Finding GCF for 170 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 170 and 300 is to list all factors for both numbers and pick the highest common one:

All factors of 170: 1, 2, 5, 10, 17, 34, 85, 170

All factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 170 and 300 is 10

Finding GCF for 170 and 300 by Prime Factorization

The second method to find GCF for numbers 170 and 300 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 170: 2, 5, 17

All Prime Factors of 300: 2, 2, 3, 5, 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 170 and 300? (The answer is: 10). Select the first number (e.g. '170') and the second number (e.g. '300'). 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
1702855
1702862
1702871
1702882
17028917
17029010
1702911
1702922
1702931
1702942
1702955
1702962
1702971
1702982
1702991
17030010
1703011
1703022
1703031
1703042
1703055
17030634
1703071
1703082
1703091
17031010
1703111
1703122
1703131
1703142

FAQ

What is the Greatest Common Divisor of 170 and 300?

GCF of 170 and 300 is 10

How to find the GCF of 170 and 300?

You can find the GCF of 170 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 170 and 300 is 10.

What prime factors do 170 and 300 share?

The prime factorizations of 170 and 300 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 170/300?

Divide the numerator and the denominator by the GCF 10: 170 ÷ 10 = 17 and 300 ÷ 10 = 30. So 170/300 in lowest terms is 17/30.

See Also