GCF for 112 and 168

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 112 and 168?

Answer: GCF of 112 and 168 is 56

(Fifty-six)

Finding GCF for 112 and 168 using all factors (divisors) listing

The first method to find GCF for numbers 112 and 168 is to list all factors for both numbers and pick the highest common one:

All factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

All factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

So the Greatest Common Factor for 112 and 168 is 56

Finding GCF for 112 and 168 by Prime Factorization

The second method to find GCF for numbers 112 and 168 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 112: 2, 2, 2, 2, 7

All Prime Factors of 168: 2, 2, 2, 3, 7

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 7 = 56

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 112 and 168? (The answer is: 56). Select the first number (e.g. '112') and the second number (e.g. '168'). 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
971681
9816814
991683
1001684
1011681
1021686
1031681
1041688
10516821
1061682
1071681
10816812
1091681
1101682
1111683
11216856
1131681
1141686
1151681
1161684
1171683
1181682
1191687
12016824
1211681
1221682
1231683
1241684
1251681
12616842

FAQ

What is the Greatest common Divisor of 112 and 168?

GCF of 112 and 168 is 56

See Also