GCF for 105 and 180

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 105 and 180?

Answer: GCF of 105 and 180 is 15

(Fifteen)

Finding GCF for 105 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 105 and 180 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 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

So the Greatest Common Factor for 105 and 180 is 15

Finding GCF for 105 and 180 by Prime Factorization

The second method to find GCF for numbers 105 and 180 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 180: 2, 2, 3, 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 180? (The answer is: 15). Select the first number (e.g. '105') and the second number (e.g. '180'). 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
9018090
911801
921804
931803
941802
951805
9618012
971801
981802
991809
10018020
1011801
1021806
1031801
1041804
10518015
1061802
1071801
10818036
1091801
11018010
1111803
1121804
1131801
1141806
1151805
1161804
1171809
1181802
1191801

FAQ

What is the Greatest common Divisor of 105 and 180?

GCF of 105 and 180 is 15

See Also