What is the Greatest Common Factor of 18954 and 18960?

Greatest common factor (GCF) of 18954 and 18960 is 6.

GCF(18954,18960) = 6

We will now calculate the prime factors of 18954 and 18960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18954 and 18960.

How to find the GCF of 18954 and 18960?

We will first find the prime factorization of 18954 and 18960. After we will calculate the factors of 18954 and 18960 and find the biggest common factor number .

Step-1: Prime Factorization of 18954

Prime factors of 18954 are 2, 3, 13. Prime factorization of 18954 in exponential form is:

18954 = 2¹ × 3⁶ × 13¹

Step-2: 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-3: Factors of 18954

List of positive integer factors of 18954 that divides 18954 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 729, 1053, 1458, 2106, 3159, 6318, 9477

Step-4: Factors of 18960

List of positive integer factors of 18960 that divides 18954 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18954 and 18960. The biggest common factor number is the GCF number.
So the greatest common factor 18954 and 18960 is 6.

Also check out the Least Common Multiple of 18954 and 18960