GCF of 24 and 120 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 24 and 120?

Answer

GCF of 24 and 120 is
24

(Twenty-four)

Finding GCF for 24 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 24 and 120 is to list all factors for both numbers and pick the highest common one:

All factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

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

So the Greatest Common Factor for 24 and 120 is 24

Finding GCF for 24 and 120 by Prime Factorization

The second method to find GCF for numbers 24 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 24: 2, 2, 2, 3

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

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 24 and 120? (The answer is: 24). Select the first number (e.g. '24') and the second number (e.g. '120'). 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
243612
24371
24382
24393
24408
24411
24426
24431
24444
24453
24462
244824
24502
24524
24531
24546
24568
246012
24648
247224
24808
248412
24888
24906
249624
241004
241048
2412024
242106
2410008

FAQ

What is the Greatest Common Divisor of 24 and 120?

GCF of 24 and 120 is 24

How to find the GCF of 24 and 120?

You can find the GCF of 24 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 120 is 24.

What prime factors do 24 and 120 share?

The prime factorizations of 24 and 120 have 2 × 2 × 2 × 3 in common, and multiplying those shared primes gives 24 — exactly the greatest common factor.

How does the GCF reduce the fraction 24/120?

Divide the numerator and the denominator by the GCF 24: 24 ÷ 24 = 1 and 120 ÷ 24 = 5. So 24/120 in lowest terms is 1/5.

See Also