What is the Greatest Common Factor of 3945 and 3960?

Greatest common factor (GCF) of 3945 and 3960 is 15.

GCF(3945,3960) = 15

We will now calculate the prime factors of 3945 and 3960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3945 and 3960.

How to find the GCF of 3945 and 3960?

We will first find the prime factorization of 3945 and 3960. After we will calculate the factors of 3945 and 3960 and find the biggest common factor number .

Step-1: Prime Factorization of 3945

Prime factors of 3945 are 3, 5, 263. Prime factorization of 3945 in exponential form is:

3945 = 3¹ × 5¹ × 263¹

Step-2: Prime Factorization of 3960

Prime factors of 3960 are 2, 3, 5, 11. Prime factorization of 3960 in exponential form is:

3960 = 2³ × 3² × 5¹ × 11¹

Step-3: Factors of 3945

List of positive integer factors of 3945 that divides 3945 without a remainder.

1, 3, 5, 15, 263, 789, 1315

Step-4: Factors of 3960

List of positive integer factors of 3960 that divides 3945 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3945 and 3960. The biggest common factor number is the GCF number.
So the greatest common factor 3945 and 3960 is 15.

Also check out the Least Common Multiple of 3945 and 3960