GCF for 70 and 112

What is the Greatest common Divisor of 70 and 112?

Answer: GCF of 70 and 112 is 14

(Fourteen)

Finding GCF for 70 and 112 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 112 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 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

So the Greatest Common Factor for 70 and 112 is 14

Finding GCF for 70 and 112 by Prime Factorization

The second method to find GCF for numbers 70 and 112 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 112: 2, 2, 2, 2, 7

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

Now we need to multiply them to find GCF: 2 × 7 = 14

See Also

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 112? (The answer is: 14). Select the first number (e.g. '70') and the second number (e.g. '112'). 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

GCF Table

Number 1Number 2GCF
551121
5611256
571121
581122
591121
601124
611121
621122
631127
6411216
651121
661122
671121
681124
691121
70112
711121
721128
731121
741122
751121
761124
771127
781122
791121
8011216
811121
821122
831121
84112

FAQ

What is the Greatest common Divisor of 70 and 112?

GCF of 70 and 112 is 14