GCF for 70 and 315

What is the Greatest Common Factor of 70 and 315?

Answer: GCF of 70 and 315 is 35

(Thirty-five)

Finding GCF for 70 and 315 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 315 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 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

So the Greatest Common Factor for 70 and 315 is 35

Finding GCF for 70 and 315 by Prime Factorization

The second method to find GCF for numbers 70 and 315 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 315: 3, 3, 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

GCF Table

Number 1Number 2GCF
553155
563157
573153
583151
593151
6031515
613151
623151
6331563
643151
653155
663153
673151
683151
693153
7031535
713151
723159
733151
743151
7531515
763151
773157
783153
793151
803155
813159
823151
833151
84315

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 315? (The answer is: 35). Select the first number (e.g. '70') and the second number (e.g. '315'). 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 315?

GCF of 70 and 315 is 35