# Greatest Common Divisor/Factor (GCD) Calculator

The calculator will find the greatest common factor/divisor (GCF) of the given positive numbers, with steps shown, using either the factoring method or the prime factorization method.

Enter numbers (comma-separated) or

Positive numbers separated by commas, for example, 12,24,32,40,28.
Your input: find the GCD of $$30, 60, 45, 105, 25$$$using factoring. The GCD of numbers is the largest number that divides all given numbers. Find the factors/divisors of each number. • The factors of $$\color{Green}{30}$$$: $$1, 2, 3, \color{Red}{5}, 6, 10, 15, 30$$$• The factors of $$\color{Green}{60}$$$: $$1, 2, 3, 4, \color{Red}{5}, 6, 10, 12, 15, 20, 30, 60$$$• The factors of $$\color{Green}{45}$$$: $$1, 3, \color{Red}{5}, 9, 15, 45$$$• The factors of $$\color{Green}{105}$$$: $$1, 3, \color{Red}{5}, 7, 15, 21, 35, 105$$$• The factors of $$\color{Green}{25}$$$: $$1, \color{Red}{5}, 25$$$The greatest common (all numbers share it) factor/divisor is highlighted. Thus, $$GCD\left(30, 60, 45, 105, 25\right)=5$$$.
Answer: $$GCD\left(30, 60, 45, 105, 25\right)=5$$\$.