What is the Greatest Common Factor of 60378 and 60384?

Greatest common factor (GCF) of 60378 and 60384 is 6.

GCF(60378,60384) = 6

We will now calculate the prime factors of 60378 and 60384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60378 and 60384.

How to find the GCF of 60378 and 60384?

We will first find the prime factorization of 60378 and 60384. After we will calculate the factors of 60378 and 60384 and find the biggest common factor number .

Step-1: Prime Factorization of 60378

Prime factors of 60378 are 2, 3, 29, 347. Prime factorization of 60378 in exponential form is:

60378 = 2¹ × 3¹ × 29¹ × 347¹

Step-2: Prime Factorization of 60384

Prime factors of 60384 are 2, 3, 17, 37. Prime factorization of 60384 in exponential form is:

60384 = 2⁵ × 3¹ × 17¹ × 37¹

Step-3: Factors of 60378

List of positive integer factors of 60378 that divides 60378 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 347, 694, 1041, 2082, 10063, 20126, 30189

Step-4: Factors of 60384

List of positive integer factors of 60384 that divides 60378 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 37, 48, 51, 68, 74, 96, 102, 111, 136, 148, 204, 222, 272, 296, 408, 444, 544, 592, 629, 816, 888, 1184, 1258, 1632, 1776, 1887, 2516, 3552, 3774, 5032, 7548, 10064, 15096, 20128, 30192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60378 and 60384. The biggest common factor number is the GCF number.
So the greatest common factor 60378 and 60384 is 6.

Also check out the Least Common Multiple of 60378 and 60384