GCF for 45 and 150

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 45 and 150?

Answer: GCF of 45 and 150 is 15

(Fifteen)

Finding GCF for 45 and 150 using all factors (divisors) listing

The first method to find GCF for numbers 45 and 150 is to list all factors for both numbers and pick the highest common one:

All factors of 45: 1, 3, 5, 9, 15, 45

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

So the Greatest Common Factor for 45 and 150 is 15

Finding GCF for 45 and 150 by Prime Factorization

The second method to find GCF for numbers 45 and 150 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 45: 3, 3, 5

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

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

Now we need to multiply them to find GCF: 3 × 5 = 15

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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 45 and 150? (The answer is: 15). Select the first number (e.g. '45') and the second number (e.g. '150'). 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
3015030
311501
321502
331503
341502
351505
361506
371501
381502
391503
4015010
411501
421506
431501
441502
4515015
461502
471501
481506
491501
5015050
511503
521502
531501
541506
551505
561502
571503
581502
591501

FAQ

What is the Greatest common Divisor of 45 and 150?

GCF of 45 and 150 is 15

See Also