What is the Greatest Common Factor of 60384 and 60403?

Greatest common factor (GCF) of 60384 and 60403 is 1.

GCF(60384,60403) = 1

We will now calculate the prime factors of 60384 and 60403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60384 and 60403.

How to find the GCF of 60384 and 60403?

We will first find the prime factorization of 60384 and 60403. After we will calculate the factors of 60384 and 60403 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 60403

Prime factors of 60403 are 7, 8629. Prime factorization of 60403 in exponential form is:

60403 = 7¹ × 8629¹

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 60403

List of positive integer factors of 60403 that divides 60384 without a remainder.

1, 7, 8629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60384 and 60403. The biggest common factor number is the GCF number.
So the greatest common factor 60384 and 60403 is 1.

Also check out the Least Common Multiple of 60384 and 60403