GCF for 140 and 224

What is the Greatest common Divisor of 140 and 224?

Answer: GCF of 140 and 224 is 28

(Twenty-eight)

Finding GCF for 140 and 224 using all factors (divisors) listing

The first method to find GCF for numbers 140 and 224 is to list all factors for both numbers and pick the highest common one:

All factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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

So the Greatest Common Factor for 140 and 224 is 28

Finding GCF for 140 and 224 by Prime Factorization

The second method to find GCF for numbers 140 and 224 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 140: 2, 2, 5, 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, 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 140 and 224? (The answer is: 28). Select the first number (e.g. '140') 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

GCF Table

Number 1Number 2GCF
1252241
12622414
1272241
12822432
1292241
1302242
1312241
1322244
1332247
1342242
1352241
1362248
1372241
1382242
1392241
140224
1412241
1422242
1432241
14422416
1452241
1462242
1472247
1482244
1492241
1502242
1512241
1522248
1532241
15422414

FAQ

What is the Greatest common Divisor of 140 and 224?

GCF of 140 and 224 is 28