What is the Greatest Common Factor of 60364 and 60384?

Greatest common factor (GCF) of 60364 and 60384 is 4.

GCF(60364,60384) = 4

We will now calculate the prime factors of 60364 and 60384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60364 and 60384.

How to find the GCF of 60364 and 60384?

We will first find the prime factorization of 60364 and 60384. After we will calculate the factors of 60364 and 60384 and find the biggest common factor number .

Step-1: Prime Factorization of 60364

Prime factors of 60364 are 2, 15091. Prime factorization of 60364 in exponential form is:

60364 = 2² × 15091¹

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 60364

List of positive integer factors of 60364 that divides 60364 without a remainder.

1, 2, 4, 15091, 30182

Step-4: Factors of 60384

List of positive integer factors of 60384 that divides 60364 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 60364 and 60384. The biggest common factor number is the GCF number.
So the greatest common factor 60364 and 60384 is 4.

Also check out the Least Common Multiple of 60364 and 60384