What is the Greatest Common Factor of 15954 and 15960?

Greatest common factor (GCF) of 15954 and 15960 is 6.

GCF(15954,15960) = 6

We will now calculate the prime factors of 15954 and 15960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15954 and 15960.

How to find the GCF of 15954 and 15960?

We will first find the prime factorization of 15954 and 15960. After we will calculate the factors of 15954 and 15960 and find the biggest common factor number .

Step-1: Prime Factorization of 15954

Prime factors of 15954 are 2, 3, 2659. Prime factorization of 15954 in exponential form is:

15954 = 2¹ × 3¹ × 2659¹

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 15954

List of positive integer factors of 15954 that divides 15954 without a remainder.

1, 2, 3, 6, 2659, 5318, 7977

Step-4: Factors of 15960

List of positive integer factors of 15960 that divides 15954 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 15954 and 15960. The biggest common factor number is the GCF number.
So the greatest common factor 15954 and 15960 is 6.

Also check out the Least Common Multiple of 15954 and 15960