GCF for 60 and 375

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 60 and 375?

Answer

GCF of 60 and 375 is 15

(Fifteen)

Finding GCF for 60 and 375 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 375 is to list all factors for both numbers and pick the highest common one:

All factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

All factors of 375: 1, 3, 5, 15, 25, 75, 125, 375

So the Greatest Common Factor for 60 and 375 is 15

Finding GCF for 60 and 375 by Prime Factorization

The second method to find GCF for numbers 60 and 375 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 60: 2, 2, 3, 5

All Prime Factors of 375: 3, 5, 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

Related Calculations

See Also

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 60 and 375? (The answer is: 15). Select the first number (e.g. '60') and the second number (e.g. '375'). 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
4537515
463751
473751
483753
493751
5037525
513753
523751
533751
543753
553755
563751
573753
583751
593751
6037515
613751
623751
633753
643751
653755
663753
673751
683751
693753
703755
713751
723753
733751
743751

FAQ

What is the Greatest Common Divisor of 60 and 375?

GCF of 60 and 375 is 15

How to find the GCF of 60 and 375?

You can find the GCF of 60 and 375 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 375 is 15.

See Also