What is the Greatest Common Factor of 18960 and 18976?

Greatest common factor (GCF) of 18960 and 18976 is 16.

GCF(18960,18976) = 16

We will now calculate the prime factors of 18960 and 18976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18960 and 18976.

How to find the GCF of 18960 and 18976?

We will first find the prime factorization of 18960 and 18976. After we will calculate the factors of 18960 and 18976 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 18976

Prime factors of 18976 are 2, 593. Prime factorization of 18976 in exponential form is:

18976 = 2⁵ × 593¹

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 18976

List of positive integer factors of 18976 that divides 18960 without a remainder.

1, 2, 4, 8, 16, 32, 593, 1186, 2372, 4744, 9488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18960 and 18976. The biggest common factor number is the GCF number.
So the greatest common factor 18960 and 18976 is 16.

Also check out the Least Common Multiple of 18960 and 18976