GCF for 12 and 4

What is the Greatest common Divisor of 12 and 4?

Answer: GCF of 12 and 4 is 4

(Four)

Finding GCF for 12 and 4 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 4 is to list all factors for both numbers and pick the highest common one:

All factors of 12: 1, 2, 3, 4, 6, 12

All factors of 4: 1, 2, 4

So the Greatest Common Factor for 12 and 4 is 4

Finding GCF for 12 and 4 by Prime Factorization

The second method to find GCF for numbers 12 and 4 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 12: 2, 2, 3

All Prime Factors of 4: 2, 2

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

Now we need to multiply them to find GCF: 2 × 2 = 4

See Also

GCF Table

Number 1Number 2GCF
14
24
34
444
541
64
741
844
94
1042
1141
124
1341
1442
1541
1644
1741
1842
1941
2044
2141
2242
2341
2444
2541
2642
2741
2844
2941
3042

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 12 and 4? (The answer is: 4). Select the first number (e.g. '12') and the second number (e.g. '4'). 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 12 and 4?

GCF of 12 and 4 is 4