GCF for 108 and 360

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 108 and 360?

Answer: GCF of 108 and 360 is 36

(Thirty-six)

Finding GCF for 108 and 360 using all factors (divisors) listing

The first method to find GCF for numbers 108 and 360 is to list all factors for both numbers and pick the highest common one:

All factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

All factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

So the Greatest Common Factor for 108 and 360 is 36

Finding GCF for 108 and 360 by Prime Factorization

The second method to find GCF for numbers 108 and 360 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 108: 2, 2, 3, 3, 3

All Prime Factors of 360: 2, 2, 2, 3, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 2, 3, 3

Now we need to multiply them to find GCF: 2 × 2 × 3 × 3 = 36

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 108 and 360? (The answer is: 36). Select the first number (e.g. '108') and the second number (e.g. '360'). 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
933603
943602
953605
9636024
973601
983602
993609
10036020
1013601
1023606
1033601
1043608
10536015
1063602
1073601
10836036
1093601
11036010
1113603
1123608
1133601
1143606
1153605
1163604
1173609
1183602
1193601
120360120
1213601
1223602

FAQ

What is the Greatest common Divisor of 108 and 360?

GCF of 108 and 360 is 36

See Also