GCF for 70 and 175

What is the Greatest common Divisor of 70 and 175?

Answer: GCF of 70 and 175 is 35

(Thirty-five)

Finding GCF for 70 and 175 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 175 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 175: 1, 5, 7, 25, 35, 175

So the Greatest Common Factor for 70 and 175 is 35

Finding GCF for 70 and 175 by Prime Factorization

The second method to find GCF for numbers 70 and 175 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 175: 5, 5, 7

As we can see there are Prime Factors common to both numbers: 5, 7

Now we need to multiply them to find GCF: 5 × 7 = 35

See Also

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 175? (The answer is: 35). Select the first number (e.g. '70') and the second number (e.g. '175'). 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

GCF Table

Number 1Number 2GCF
551755
561757
571751
581751
591751
601755
611751
621751
631757
641751
651755
661751
671751
681751
691751
70175
711751
721751
731751
741751
7517525
761751
771757
781751
791751
801755
811751
821751
831751
841757

FAQ

What is the Greatest common Divisor of 70 and 175?

GCF of 70 and 175 is 35