What is the Greatest Common Factor of 60380 and 60384?

Greatest common factor (GCF) of 60380 and 60384 is 4.

GCF(60380,60384) = 4

We will now calculate the prime factors of 60380 and 60384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60380 and 60384.

How to find the GCF of 60380 and 60384?

We will first find the prime factorization of 60380 and 60384. After we will calculate the factors of 60380 and 60384 and find the biggest common factor number .

Step-1: Prime Factorization of 60380

Prime factors of 60380 are 2, 5, 3019. Prime factorization of 60380 in exponential form is:

60380 = 2² × 5¹ × 3019¹

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 60380

List of positive integer factors of 60380 that divides 60380 without a remainder.

1, 2, 4, 5, 10, 20, 3019, 6038, 12076, 15095, 30190

Step-4: Factors of 60384

List of positive integer factors of 60384 that divides 60380 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 60380 and 60384. The biggest common factor number is the GCF number.
So the greatest common factor 60380 and 60384 is 4.

Also check out the Least Common Multiple of 60380 and 60384