GCF of 675 and 945 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 675 and 945?

Answer

GCF of 675 and 945 is
135

(One hundred thirty-five)

Finding GCF for 675 and 945 using all factors (divisors) listing

The first method to find GCF for numbers 675 and 945 is to list all factors for both numbers and pick the highest common one:

All factors of 675: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

All factors of 945: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

So the Greatest Common Factor for 675 and 945 is 135

Finding GCF for 675 and 945 by Prime Factorization

The second method to find GCF for numbers 675 and 945 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 675: 3, 3, 3, 5, 5

All Prime Factors of 945: 3, 3, 3, 5, 7

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

Now we need to multiply them to find GCF: 3 × 3 × 3 × 5 = 135

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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 675 and 945? (The answer is: 135). Select the first number (e.g. '675') and the second number (e.g. '945'). 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
67593015
6759311
6759321
6759333
6759341
6759355
6759369
6759371
6759381
6759393
6759405
6759411
6759423
6759431
6759441
675945135
6759461
6759471
6759483
6759491
67595025
6759513
6759521
6759531
6759549
6759555
6759561
6759573
6759581
6759591

FAQ

What is the Greatest Common Divisor of 675 and 945?

GCF of 675 and 945 is 135

How to find the GCF of 675 and 945?

You can find the GCF of 675 and 945 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 675 and 945 is 135.

What prime factors do 675 and 945 share?

The prime factorizations of 675 and 945 have 3 × 3 × 3 × 5 in common, and multiplying those shared primes gives 135 — exactly the greatest common factor.

How does the GCF reduce the fraction 675/945?

Divide the numerator and the denominator by the GCF 135: 675 ÷ 135 = 5 and 945 ÷ 135 = 7. So 675/945 in lowest terms is 5/7.

See Also