GCF for 30 and 228

What is the Greatest common Divisor of 30 and 228?

Answer: GCF of 30 and 228 is 6

(Six)

Finding GCF for 30 and 228 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 228 is to list all factors for both numbers and pick the highest common one:

All factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

All factors of 228: 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

So the Greatest Common Factor for 30 and 228 is 6

Finding GCF for 30 and 228 by Prime Factorization

The second method to find GCF for numbers 30 and 228 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 30: 2, 3, 5

All Prime Factors of 228: 2, 2, 3, 19

As we can see there are Prime Factors common to both numbers: 2, 3

Now we need to multiply them to find GCF: 2 × 3 = 6

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 30 and 228? (The answer is: 6). Select the first number (e.g. '30') and the second number (e.g. '228'). 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
152283
162284
172281
182286
1922819
202284
212283
222282
232281
2422812
252281
262282
272283
282284
292281
30228
312281
322284
332283
342282
352281
3622812
372281
3822838
392283
402284
412281
422286
432281
442284

FAQ

What is the Greatest common Divisor of 30 and 228?

GCF of 30 and 228 is 6