GCF for 70 and 290

What is the Greatest Common Factor of 70 and 290?

Answer: GCF of 70 and 290 is 10

(Ten)

Finding GCF for 70 and 290 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 290 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 290: 1, 2, 5, 10, 29, 58, 145, 290

So the Greatest Common Factor for 70 and 290 is 10

Finding GCF for 70 and 290 by Prime Factorization

The second method to find GCF for numbers 70 and 290 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 290: 2, 5, 29

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

GCF Table

Number 1Number 2GCF
552905
562902
572901
5829058
592901
6029010
612901
622902
632901
642902
652905
662902
672901
682902
692901
7029010
712901
722902
732901
742902
752905
762902
772901
782902
792901
8029010
812901
822902
832901
842902

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 290? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '290'). 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 290?

GCF of 70 and 290 is 10