GCF for 70 and 350

What is the Greatest Common Factor of 70 and 350?

Answer: GCF of 70 and 350 is 70

(Seventy)

Finding GCF for 70 and 350 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 350 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 350: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

So the Greatest Common Factor for 70 and 350 is 70

Finding GCF for 70 and 350 by Prime Factorization

The second method to find GCF for numbers 70 and 350 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 350: 2, 5, 5, 7

As we can see there are Prime Factors common to both numbers: 2, 5, 7

Now we need to multiply them to find GCF: 2 × 5 × 7 = 70

GCF Table

Number 1Number 2GCF
553505
5635014
573501
583502
593501
6035010
613501
623502
633507
643502
653505
663502
673501
683502
693501
7035070
713501
723502
733501
743502
7535025
763502
773507
783502
793501
8035010
813501
823502
833501
8435014

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 350? (The answer is: 70). Select the first number (e.g. '70') and the second number (e.g. '350'). 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 350?

GCF of 70 and 350 is 70