GCF of 150 and 225 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 150 and 225?

Answer

GCF of 150 and 225 is
75

(Seventy-five)

Finding GCF for 150 and 225 using all factors (divisors) listing

The first method to find GCF for numbers 150 and 225 is to list all factors for both numbers and pick the highest common one:

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

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

So the Greatest Common Factor for 150 and 225 is 75

Finding GCF for 150 and 225 by Prime Factorization

The second method to find GCF for numbers 150 and 225 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 150: 2, 3, 5, 5

All Prime Factors of 225: 3, 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 150 and 225? (The answer is: 75). Select the first number (e.g. '150') and the second number (e.g. '225'). 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
15021030
1502111
1502122
1502133
1502142
1502155
1502166
1502171
1502182
1502193
15022010
1502211
1502226
1502231
1502242
15022575
1502262
1502271
1502286
1502291
15023010
1502313
1502322
1502331
1502346
1502355
1502362
1502373
1502382
1502391

FAQ

What is the Greatest Common Divisor of 150 and 225?

GCF of 150 and 225 is 75

How to find the GCF of 150 and 225?

You can find the GCF of 150 and 225 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 225 is 75.

What prime factors do 150 and 225 share?

The prime factorizations of 150 and 225 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 150/225?

Divide the numerator and the denominator by the GCF 75: 150 ÷ 75 = 2 and 225 ÷ 75 = 3. So 150/225 in lowest terms is 2/3.

See Also