What is the Greatest Common Factor of 60367 and 60384?

Greatest common factor (GCF) of 60367 and 60384 is 17.

GCF(60367,60384) = 17

We will now calculate the prime factors of 60367 and 60384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60367 and 60384.

How to find the GCF of 60367 and 60384?

We will first find the prime factorization of 60367 and 60384. After we will calculate the factors of 60367 and 60384 and find the biggest common factor number .

Step-1: Prime Factorization of 60367

Prime factors of 60367 are 17, 53, 67. Prime factorization of 60367 in exponential form is:

60367 = 17¹ × 53¹ × 67¹

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 60367

List of positive integer factors of 60367 that divides 60367 without a remainder.

1, 17, 53, 67, 901, 1139, 3551

Step-4: Factors of 60384

List of positive integer factors of 60384 that divides 60367 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 60367 and 60384. The biggest common factor number is the GCF number.
So the greatest common factor 60367 and 60384 is 17.

Also check out the Least Common Multiple of 60367 and 60384