What is the Greatest Common Factor of 18960 and 18968?

Greatest common factor (GCF) of 18960 and 18968 is 8.

GCF(18960,18968) = 8

We will now calculate the prime factors of 18960 and 18968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18960 and 18968.

How to find the GCF of 18960 and 18968?

We will first find the prime factorization of 18960 and 18968. After we will calculate the factors of 18960 and 18968 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 18968

Prime factors of 18968 are 2, 2371. Prime factorization of 18968 in exponential form is:

18968 = 2³ × 2371¹

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 18968

List of positive integer factors of 18968 that divides 18960 without a remainder.

1, 2, 4, 8, 2371, 4742, 9484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18960 and 18968. The biggest common factor number is the GCF number.
So the greatest common factor 18960 and 18968 is 8.

Also check out the Least Common Multiple of 18960 and 18968