GCF of 144 and 1000 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 144 and 1000?

Answer

GCF of 144 and 1000 is
8

(Eight)

Finding GCF for 144 and 1000 using all factors (divisors) listing

The first method to find GCF for numbers 144 and 1000 is to list all factors for both numbers and pick the highest common one:

All factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

All factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

So the Greatest Common Factor for 144 and 1000 is 8

Finding GCF for 144 and 1000 by Prime Factorization

The second method to find GCF for numbers 144 and 1000 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 144: 2, 2, 2, 2, 3, 3

All Prime Factors of 1000: 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 144 and 1000? (The answer is: 8). Select the first number (e.g. '144') 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.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

GCF Table

Number 1Number 2GCF
1449851
1449862
1449873
1449884
1449891
14499018
1449911
14499216
1449933
1449942
1449951
14499612
1449971
1449982
1449999
14410008
14410011
14410026
14410031
14410044
14410053
14410062
14410071
1441008144
14410091
14410102
14410113
14410124
14410131
14410146

FAQ

What is the Greatest Common Divisor of 144 and 1000?

GCF of 144 and 1000 is 8

How to find the GCF of 144 and 1000?

You can find the GCF of 144 and 1000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 144 and 1000 is 8.

What prime factors do 144 and 1000 share?

The prime factorizations of 144 and 1000 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 144/1000?

Divide the numerator and the denominator by the GCF 8: 144 ÷ 8 = 18 and 1000 ÷ 8 = 125. So 144/1000 in lowest terms is 18/125.

See Also