GCF for 112 and 140

What is the Greatest common Divisor of 112 and 140?

Answer: GCF of 112 and 140 is 28

(Twenty-eight)

Finding GCF for 112 and 140 using all factors (divisors) listing

The first method to find GCF for numbers 112 and 140 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 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

So the Greatest Common Factor for 112 and 140 is 28

Finding GCF for 112 and 140 by Prime Factorization

The second method to find GCF for numbers 112 and 140 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 140: 2, 2, 5, 7

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

Now we need to multiply them to find GCF: 2 × 2 × 7 = 28

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 140? (The answer is: 28). Select the first number (e.g. '112') and the second number (e.g. '140'). 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
971401
9814014
991401
10014020
1011401
1021402
1031401
1041404
105140
1061402
1071401
1081404
1091401
11014010
1111401
112140
1131401
1141402
1151405
1161404
1171401
1181402
1191407
120140
1211401
1221402
1231401
1241404
1251405
12614014

FAQ

What is the Greatest common Divisor of 112 and 140?

GCF of 112 and 140 is 28