GCF for 144 and 168

What is the Greatest common Divisor of 144 and 168?

Answer: GCF of 144 and 168 is 24

(Twenty-four)

Finding GCF for 144 and 168 using all factors (divisors) listing

The first method to find GCF for numbers 144 and 168 is to list all factors for both numbers and pick the highest common one:

All factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

All factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

So the Greatest Common Factor for 144 and 168 is 24

Finding GCF for 144 and 168 by Prime Factorization

The second method to find GCF for numbers 144 and 168 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 144: 2, 2, 2, 2, 3, 3

All Prime Factors of 168: 2, 2, 2, 3, 7

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 = 24

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 144 and 168? (The answer is: 24). Select the first number (e.g. '144') and the second number (e.g. '168'). 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
1291683
1301682
1311681
13216812
1331687
1341682
1351683
1361688
1371681
1381686
1391681
14016828
1411683
1421682
1431681
144168
1451681
1461682
14716821
1481684
1491681
1501686
1511681
1521688
1531683
15416814
1551681
15616812
1571681
1581682

FAQ

What is the Greatest common Divisor of 144 and 168?

GCF of 144 and 168 is 24