GCF of 8 and 120 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 8 and 120?

Answer

GCF of 8 and 120 is
8

(Eight)

Finding GCF for 8 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 8 and 120 is to list all factors for both numbers and pick the highest common one:

All factors of 8: 1, 2, 4, 8

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 8 and 120 is 8

Finding GCF for 8 and 120 by Prime Factorization

The second method to find GCF for numbers 8 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 8: 2, 2, 2

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

Now we need to multiply them to find GCF: 2 × 2 × 2 = 8

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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 8 and 120? (The answer is: 8). Select the first number (e.g. '8') 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
8291
8302
8311
8328
8331
8351
8364
8408
8422
8431
8444
8451
8488
8491
8502
8524
8531
8542
8568
8591
8604
8631
8648
8728
8808
8902
8968
81004
81208
810008

FAQ

What is the Greatest Common Divisor of 8 and 120?

GCF of 8 and 120 is 8

How to find the GCF of 8 and 120?

You can find the GCF of 8 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 120 is 8.

What prime factors do 8 and 120 share?

The prime factorizations of 8 and 120 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 8/120?

Divide the numerator and the denominator by the GCF 8: 8 ÷ 8 = 1 and 120 ÷ 8 = 15. So 8/120 in lowest terms is 1/15.

See Also