What is the Greatest Common Factor of 15960 and 15971?

Greatest common factor (GCF) of 15960 and 15971 is 1.

GCF(15960,15971) = 1

We will now calculate the prime factors of 15960 and 15971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15960 and 15971.

How to find the GCF of 15960 and 15971?

We will first find the prime factorization of 15960 and 15971. After we will calculate the factors of 15960 and 15971 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15971

Prime factors of 15971 are 15971. Prime factorization of 15971 in exponential form is:

15971 = 15971¹

Step-3: Factors of 15960

List of positive integer factors of 15960 that divides 15960 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

Step-4: Factors of 15971

List of positive integer factors of 15971 that divides 15960 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15960 and 15971. The biggest common factor number is the GCF number.
So the greatest common factor 15960 and 15971 is 1.

Also check out the Least Common Multiple of 15960 and 15971