What is the Greatest Common Factor of 15945 and 15960?

Greatest common factor (GCF) of 15945 and 15960 is 15.

GCF(15945,15960) = 15

We will now calculate the prime factors of 15945 and 15960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15945 and 15960.

How to find the GCF of 15945 and 15960?

We will first find the prime factorization of 15945 and 15960. After we will calculate the factors of 15945 and 15960 and find the biggest common factor number .

Step-1: Prime Factorization of 15945

Prime factors of 15945 are 3, 5, 1063. Prime factorization of 15945 in exponential form is:

15945 = 3¹ × 5¹ × 1063¹

Step-2: Prime Factorization of 15960

Prime factors of 15960 are 2, 3, 5, 7, 19. Prime factorization of 15960 in exponential form is:

15960 = 2³ × 3¹ × 5¹ × 7¹ × 19¹

Step-3: Factors of 15945

List of positive integer factors of 15945 that divides 15945 without a remainder.

1, 3, 5, 15, 1063, 3189, 5315

Step-4: Factors of 15960

List of positive integer factors of 15960 that divides 15945 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 19, 20, 21, 24, 28, 30, 35, 38, 40, 42, 56, 57, 60, 70, 76, 84, 95, 105, 114, 120, 133, 140, 152, 168, 190, 210, 228, 266, 280, 285, 380, 399, 420, 456, 532, 570, 665, 760, 798, 840, 1064, 1140, 1330, 1596, 1995, 2280, 2660, 3192, 3990, 5320, 7980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15945 and 15960. The biggest common factor number is the GCF number.
So the greatest common factor 15945 and 15960 is 15.

Also check out the Least Common Multiple of 15945 and 15960