GCF of 750 and 975 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 750 and 975?

Answer

GCF of 750 and 975 is
75

(Seventy-five)

Finding GCF for 750 and 975 using all factors (divisors) listing

The first method to find GCF for numbers 750 and 975 is to list all factors for both numbers and pick the highest common one:

All factors of 750: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

All factors of 975: 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

So the Greatest Common Factor for 750 and 975 is 75

Finding GCF for 750 and 975 by Prime Factorization

The second method to find GCF for numbers 750 and 975 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 750: 2, 3, 5, 5, 5

All Prime Factors of 975: 3, 5, 5, 13

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 750 and 975? (The answer is: 75). Select the first number (e.g. '750') and the second number (e.g. '975'). 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
75096030
7509611
7509622
7509633
7509642
7509655
7509666
7509671
7509682
7509693
75097010
7509711
7509726
7509731
7509742
75097575
7509762
7509771
7509786
7509791
75098010
7509813
7509822
7509831
7509846
7509855
7509862
7509873
7509882
7509891

FAQ

What is the Greatest Common Divisor of 750 and 975?

GCF of 750 and 975 is 75

How to find the GCF of 750 and 975?

You can find the GCF of 750 and 975 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 750 and 975 is 75.

What prime factors do 750 and 975 share?

The prime factorizations of 750 and 975 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 750/975?

Divide the numerator and the denominator by the GCF 75: 750 ÷ 75 = 10 and 975 ÷ 75 = 13. So 750/975 in lowest terms is 10/13.

See Also