GCF for 32 and 176

What is the Greatest common Divisor of 32 and 176?

Answer: GCF of 32 and 176 is 16

(Sixteen)

Finding GCF for 32 and 176 using all factors (divisors) listing

The first method to find GCF for numbers 32 and 176 is to list all factors for both numbers and pick the highest common one:

All factors of 32: 1, 2, 4, 8, 16, 32

All factors of 176: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

So the Greatest Common Factor for 32 and 176 is 16

Finding GCF for 32 and 176 by Prime Factorization

The second method to find GCF for numbers 32 and 176 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 32: 2, 2, 2, 2, 2

All Prime Factors of 176: 2, 2, 2, 2, 11

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 = 16

Related Calculations

GCF Table

Number 1Number 2GCF
171761
181762
191761
201764
211761
2217622
231761
241768
251761
261762
271761
281764
291761
301762
311761
32176
3317611
341762
351761
361764
371761
381762
391761
401768
411761
421762
431761
4417644
451761
461762

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 32 and 176? (The answer is: 16). Select the first number (e.g. '32') and the second number (e.g. '176'). 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 32 and 176?

GCF of 32 and 176 is 16