What is the Greatest Common Factor of 18960 and 18971?

Greatest common factor (GCF) of 18960 and 18971 is 1.

GCF(18960,18971) = 1

We will now calculate the prime factors of 18960 and 18971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18960 and 18971.

How to find the GCF of 18960 and 18971?

We will first find the prime factorization of 18960 and 18971. After we will calculate the factors of 18960 and 18971 and find the biggest common factor number .

Step-1: Prime Factorization of 18960

Prime factors of 18960 are 2, 3, 5, 79. Prime factorization of 18960 in exponential form is:

18960 = 2⁴ × 3¹ × 5¹ × 79¹

Step-2: Prime Factorization of 18971

Prime factors of 18971 are 61, 311. Prime factorization of 18971 in exponential form is:

18971 = 61¹ × 311¹

Step-3: Factors of 18960

List of positive integer factors of 18960 that divides 18960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 79, 80, 120, 158, 237, 240, 316, 395, 474, 632, 790, 948, 1185, 1264, 1580, 1896, 2370, 3160, 3792, 4740, 6320, 9480

Step-4: Factors of 18971

List of positive integer factors of 18971 that divides 18960 without a remainder.

1, 61, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18960 and 18971. The biggest common factor number is the GCF number.
So the greatest common factor 18960 and 18971 is 1.

Also check out the Least Common Multiple of 18960 and 18971