GCF for 70 and 400

What is the Greatest common Divisor of 70 and 400?

Answer: GCF of 70 and 400 is 10

(Ten)

Finding GCF for 70 and 400 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 400 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 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

So the Greatest Common Factor for 70 and 400 is 10

Finding GCF for 70 and 400 by Prime Factorization

The second method to find GCF for numbers 70 and 400 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 400: 2, 2, 2, 2, 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

GCF Table

Number 1Number 2GCF
554005
564008
574001
584002
594001
6040020
614001
624002
634001
6440016
654005
664002
674001
684004
694001
7040010
714001
724008
734001
744002
7540025
764004
774001
784002
794001
8040080
814001
824002
834001
844004

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 Divisor of 70 and 400? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '400'). 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 Divisor of 70 and 400?

GCF of 70 and 400 is 10