What is the Greatest Common Factor of 57369 and 57384?

Greatest common factor (GCF) of 57369 and 57384 is 3.

GCF(57369,57384) = 3

We will now calculate the prime factors of 57369 and 57384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57369 and 57384.

How to find the GCF of 57369 and 57384?

We will first find the prime factorization of 57369 and 57384. After we will calculate the factors of 57369 and 57384 and find the biggest common factor number .

Step-1: Prime Factorization of 57369

Prime factors of 57369 are 3, 13, 1471. Prime factorization of 57369 in exponential form is:

57369 = 3¹ × 13¹ × 1471¹

Step-2: Prime Factorization of 57384

Prime factors of 57384 are 2, 3, 797. Prime factorization of 57384 in exponential form is:

57384 = 2³ × 3² × 797¹

Step-3: Factors of 57369

List of positive integer factors of 57369 that divides 57369 without a remainder.

1, 3, 13, 39, 1471, 4413, 19123

Step-4: Factors of 57384

List of positive integer factors of 57384 that divides 57369 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 797, 1594, 2391, 3188, 4782, 6376, 7173, 9564, 14346, 19128, 28692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57369 and 57384. The biggest common factor number is the GCF number.
So the greatest common factor 57369 and 57384 is 3.

Also check out the Least Common Multiple of 57369 and 57384