GCF for 120 and 168

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 120 and 168?

Answer: GCF of 120 and 168 is 24

(Twenty-four)

Finding GCF for 120 and 168 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 168 is to list all factors for both numbers and pick the highest common one:

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 120 and 168 is 24

Finding GCF for 120 and 168 by Prime Factorization

The second method to find GCF for numbers 120 and 168 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 120: 2, 2, 2, 3, 5

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 120 and 168? (The answer is: 24). Select the first number (e.g. '120') 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
10516821
1061682
1071681
10816812
1091681
1101682
1111683
11216856
1131681
1141686
1151681
1161684
1171683
1181682
1191687
12016824
1211681
1221682
1231683
1241684
1251681
12616842
1271681
1281688
1291683
1301682
1311681
13216812
1331687
1341682

FAQ

What is the Greatest common Divisor of 120 and 168?

GCF of 120 and 168 is 24

See Also