What is the Greatest Common Factor of 60384 and 60398?

Greatest common factor (GCF) of 60384 and 60398 is 2.

GCF(60384,60398) = 2

We will now calculate the prime factors of 60384 and 60398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60384 and 60398.

How to find the GCF of 60384 and 60398?

We will first find the prime factorization of 60384 and 60398. After we will calculate the factors of 60384 and 60398 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60398

Prime factors of 60398 are 2, 13, 23, 101. Prime factorization of 60398 in exponential form is:

60398 = 2¹ × 13¹ × 23¹ × 101¹

Step-3: Factors of 60384

List of positive integer factors of 60384 that divides 60384 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

Step-4: Factors of 60398

List of positive integer factors of 60398 that divides 60384 without a remainder.

1, 2, 13, 23, 26, 46, 101, 202, 299, 598, 1313, 2323, 2626, 4646, 30199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60384 and 60398. The biggest common factor number is the GCF number.
So the greatest common factor 60384 and 60398 is 2.

Also check out the Least Common Multiple of 60384 and 60398