GCF for 70 and 450

What is the Greatest Common Factor of 70 and 450?

Answer: GCF of 70 and 450 is 10

(Ten)

Finding GCF for 70 and 450 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 450 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 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

So the Greatest Common Factor for 70 and 450 is 10

Finding GCF for 70 and 450 by Prime Factorization

The second method to find GCF for numbers 70 and 450 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 450: 2, 3, 3, 5, 5

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

Related Calculations

GCF Table

Number 1Number 2GCF
554505
564502
574503
584502
594501
6045030
614501
624502
634509
644502
654505
664506
674501
684502
694503
7045010
714501
7245018
734501
744502
7545075
764502
774501
784506
794501
8045010
814509
824502
834501
844506

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 450? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '450'). 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 450?

GCF of 70 and 450 is 10