What is the Greatest Common Factor of 53184 and 53196?

Greatest common factor (GCF) of 53184 and 53196 is 12.

GCF(53184,53196) = 12

We will now calculate the prime factors of 53184 and 53196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53184 and 53196.

How to find the GCF of 53184 and 53196?

We will first find the prime factorization of 53184 and 53196. After we will calculate the factors of 53184 and 53196 and find the biggest common factor number .

Step-1: Prime Factorization of 53184

Prime factors of 53184 are 2, 3, 277. Prime factorization of 53184 in exponential form is:

53184 = 2⁶ × 3¹ × 277¹

Step-2: Prime Factorization of 53196

Prime factors of 53196 are 2, 3, 11, 13, 31. Prime factorization of 53196 in exponential form is:

53196 = 2² × 3¹ × 11¹ × 13¹ × 31¹

Step-3: Factors of 53184

List of positive integer factors of 53184 that divides 53184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 277, 554, 831, 1108, 1662, 2216, 3324, 4432, 6648, 8864, 13296, 17728, 26592

Step-4: Factors of 53196

List of positive integer factors of 53196 that divides 53184 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 31, 33, 39, 44, 52, 62, 66, 78, 93, 124, 132, 143, 156, 186, 286, 341, 372, 403, 429, 572, 682, 806, 858, 1023, 1209, 1364, 1612, 1716, 2046, 2418, 4092, 4433, 4836, 8866, 13299, 17732, 26598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53184 and 53196. The biggest common factor number is the GCF number.
So the greatest common factor 53184 and 53196 is 12.

Also check out the Least Common Multiple of 53184 and 53196