GCF for 120 and 144

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 120 and 144?

Answer: GCF of 120 and 144 is 24

(Twenty-four)

Finding GCF for 120 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 144 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 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

So the Greatest Common Factor for 120 and 144 is 24

Finding GCF for 120 and 144 by Prime Factorization

The second method to find GCF for numbers 120 and 144 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 144: 2, 2, 2, 2, 3, 3

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

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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 144? (The answer is: 24). Select the first number (e.g. '120') and the second number (e.g. '144'). 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
1051443
1061442
1071441
10814436
1091441
1101442
1111443
11214416
1131441
1141446
1151441
1161444
1171449
1181442
1191441
12014424
1211441
1221442
1231443
1241444
1251441
12614418
1271441
12814416
1291443
1301442
1311441
13214412
1331441
1341442

FAQ

What is the Greatest common Divisor of 120 and 144?

GCF of 120 and 144 is 24

See Also