GCF for 105 and 120

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 105 and 120?

Answer: GCF of 105 and 120 is 15

(Fifteen)

Finding GCF for 105 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 105 and 120 is to list all factors for both numbers and pick the highest common one:

All factors of 105: 1, 3, 5, 7, 15, 21, 35, 105

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 105 and 120 is 15

Finding GCF for 105 and 120 by Prime Factorization

The second method to find GCF for numbers 105 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 105: 3, 5, 7

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

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 105 and 120? (The answer is: 15). Select the first number (e.g. '105') 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
9012030
911201
921204
931203
941202
951205
9612024
971201
981202
991203
10012020
1011201
1021206
1031201
1041208
10512015
1061202
1071201
10812012
1091201
11012010
1111203
1121208
1131201
1141206
1151205
1161204
1171203
1181202
1191201

FAQ

What is the Greatest common Divisor of 105 and 120?

GCF of 105 and 120 is 15

See Also