GCF of 8 and 96 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 8 and 96?

Answer

GCF of 8 and 96 is
8

(Eight)

Finding GCF for 8 and 96 using all factors (divisors) listing

The first method to find GCF for numbers 8 and 96 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 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

So the Greatest Common Factor for 8 and 96 is 8

Finding GCF for 8 and 96 by Prime Factorization

The second method to find GCF for numbers 8 and 96 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 96: 2, 2, 2, 2, 2, 3

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 96? (The answer is: 8). Select the first number (e.g. '8') and the second number (e.g. '96'). 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
8251
8262
8271
8284
8291
8302
8311
8328
8331
8351
8364
8408
8422
8431
8444
8451
8488
8491
8502
8524
8531
8542
8568
8591
8604
8648
8728
8902
8968
81004

FAQ

What is the Greatest Common Divisor of 8 and 96?

GCF of 8 and 96 is 8

How to find the GCF of 8 and 96?

You can find the GCF of 8 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 96 is 8.

What prime factors do 8 and 96 share?

The prime factorizations of 8 and 96 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 8/96?

Divide the numerator and the denominator by the GCF 8: 8 ÷ 8 = 1 and 96 ÷ 8 = 12. So 8/96 in lowest terms is 1/12.

See Also