GCF of 8 and 1000 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 8 and 1,000?

Answer

GCF of 8 and 1,000 is
8

(Eight)

Finding GCF for 8 and 1,000 using all factors (divisors) listing

The first method to find GCF for numbers 8 and 1,000 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 1,000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

So the Greatest Common Factor for 8 and 1,000 is 8

Finding GCF for 8 and 1,000 by Prime Factorization

The second method to find GCF for numbers 8 and 1,000 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 1,000: 2, 2, 2, 5, 5, 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 1,000? (The answer is: 8). Select the first number (e.g. '8') and the second number (e.g. '1000'). 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.
Recalculate with different values ↑

GCF Table

Number 1Number 2GCF
8284
8291
8302
8311
8328
8331
8351
8364
8408
8422
8431
8444
8451
8488
8491
8502
8524
8531
8568
8591
8604
8631
8648
8728
8808
8902
8968
81004
81208
81,0008

FAQ

What is the Greatest Common Divisor of 8 and 1,000?

GCF of 8 and 1,000 is 8

How to find the GCF of 8 and 1,000?

You can find the GCF of 8 and 1,000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 1,000 is 8.

What prime factors do 8 and 1,000 share?

The prime factorizations of 8 and 1,000 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 8/1000?

Divide the numerator and the denominator by the GCF 8: 8 ÷ 8 = 1 and 1,000 ÷ 8 = 125. So 8/1000 in lowest terms is 1/125.

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