GCF for 112 and 224

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 112 and 224?

Answer: GCF of 112 and 224 is 112

(One hundred twelve)

Finding GCF for 112 and 224 using all factors (divisors) listing

The first method to find GCF for numbers 112 and 224 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 224: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

So the Greatest Common Factor for 112 and 224 is 112

Finding GCF for 112 and 224 by Prime Factorization

The second method to find GCF for numbers 112 and 224 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 224: 2, 2, 2, 2, 2, 7

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 × 7 = 112

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 224? (The answer is: 112). Select the first number (e.g. '112') and the second number (e.g. '224'). 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
972241
9822414
992241
1002244
1012241
1022242
1032241
1042248
1052247
1062242
1072241
1082244
1092241
1102242
1112241
112224112
1132241
1142242
1152241
1162244
1172241
1182242
1192247
1202248
1212241
1222242
1232241
1242244
1252241
12622414

FAQ

What is the Greatest common Divisor of 112 and 224?

GCF of 112 and 224 is 112

See Also