GCF for 7 and 224

What is the Greatest common Divisor of 7 and 224?

Answer: GCF of 7 and 224 is 7

(Seven)

Finding GCF for 7 and 224 using all factors (divisors) listing

The first method to find GCF for numbers 7 and 224 is to list all factors for both numbers and pick the highest common one:

All factors of 7: 1, 7

All factors of 224: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

So the Greatest Common Factor for 7 and 224 is 7

Finding GCF for 7 and 224 by Prime Factorization

The second method to find GCF for numbers 7 and 224 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 7: 7

All Prime Factors of 224: 2, 2, 2, 2, 2, 7

As we can see there is only one Prime Factor common to both numbers. It is 7

So 7 is the Greatest Common Factor of 7 and 224

GCF Table

Number 1Number 2GCF
12241
22242
32241
42244
52241
62242
7224
82248
92241
102242
112241
122244
132241
1422414
152241
1622416
172241
182242
192241
202244
212247
222242
232241
242248
252241
262242
272241
2822428
292241
302242

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 7 and 224? (The answer is: 7). Select the first number (e.g. '7') 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

FAQ

What is the Greatest common Divisor of 7 and 224?

GCF of 7 and 224 is 7