GCF of 375 and 600 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 375 and 600?

Answer

GCF of 375 and 600 is
75

(Seventy-five)

Finding GCF for 375 and 600 using all factors (divisors) listing

The first method to find GCF for numbers 375 and 600 is to list all factors for both numbers and pick the highest common one:

All factors of 375: 1, 3, 5, 15, 25, 75, 125, 375

All factors of 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

So the Greatest Common Factor for 375 and 600 is 75

Finding GCF for 375 and 600 by Prime Factorization

The second method to find GCF for numbers 375 and 600 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 375: 3, 5, 5, 5

All Prime Factors of 600: 2, 2, 2, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 3, 5, 5

Now we need to multiply them to find GCF: 3 × 5 × 5 = 75

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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 375 and 600? (The answer is: 75). Select the first number (e.g. '375') and the second number (e.g. '600'). 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
37558515
3755861
3755871
3755883
3755891
3755905
3755913
3755921
3755931
3755943
3755955
3755961
3755973
3755981
3755991
37560075
3756011
3756021
3756033
3756041
3756055
3756063
3756071
3756081
3756093
3756105
3756111
3756123
3756131
3756141

FAQ

What is the Greatest Common Divisor of 375 and 600?

GCF of 375 and 600 is 75

How to find the GCF of 375 and 600?

You can find the GCF of 375 and 600 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 375 and 600 is 75.

What prime factors do 375 and 600 share?

The prime factorizations of 375 and 600 have 3 × 5 × 5 in common, and multiplying those shared primes gives 75 — exactly the greatest common factor.

How does the GCF reduce the fraction 375/600?

Divide the numerator and the denominator by the GCF 75: 375 ÷ 75 = 5 and 600 ÷ 75 = 8. So 375/600 in lowest terms is 5/8.

See Also