GCF for 70 and 945

What is the Greatest Common Factor of 70 and 945?

Answer: GCF of 70 and 945 is 35

(Thirty-five)

Finding GCF for 70 and 945 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 945 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 945: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

So the Greatest Common Factor for 70 and 945 is 35

Finding GCF for 70 and 945 by Prime Factorization

The second method to find GCF for numbers 70 and 945 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 945: 3, 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
559455
569457
579453
589451
599451
6094515
619451
629451
6394563
649451
659455
669453
679451
689451
699453
7094535
719451
729459
739451
749451
7594515
769451
779457
789453
799451
809455
8194527
829451
839451
8494521

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 945? (The answer is: 35). Select the first number (e.g. '70') and the second number (e.g. '945'). 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 945?

GCF of 70 and 945 is 35