GCF for 45 and 120

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 45 and 120?

Answer: GCF of 45 and 120 is 15

(Fifteen)

Finding GCF for 45 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 45 and 120 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 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

So the Greatest Common Factor for 45 and 120 is 15

Finding GCF for 45 and 120 by Prime Factorization

The second method to find GCF for numbers 45 and 120 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 120: 2, 2, 2, 3, 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 120? (The answer is: 15). Select the first number (e.g. '45') and the second number (e.g. '120'). 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
3012030
311201
321208
331203
341202
351205
3612012
371201
381202
391203
4012040
411201
421206
431201
441204
4512015
461202
471201
4812024
491201
5012010
511203
521204
531201
541206
551205
561208
571203
581202
591201

FAQ

What is the Greatest common Divisor of 45 and 120?

GCF of 45 and 120 is 15

See Also