What is the Greatest Common Factor of 53376 and 53394?

Greatest common factor (GCF) of 53376 and 53394 is 6.

GCF(53376,53394) = 6

We will now calculate the prime factors of 53376 and 53394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53376 and 53394.

How to find the GCF of 53376 and 53394?

We will first find the prime factorization of 53376 and 53394. After we will calculate the factors of 53376 and 53394 and find the biggest common factor number .

Step-1: Prime Factorization of 53376

Prime factors of 53376 are 2, 3, 139. Prime factorization of 53376 in exponential form is:

53376 = 2⁷ × 3¹ × 139¹

Step-2: Prime Factorization of 53394

Prime factors of 53394 are 2, 3, 11, 809. Prime factorization of 53394 in exponential form is:

53394 = 2¹ × 3¹ × 11¹ × 809¹

Step-3: Factors of 53376

List of positive integer factors of 53376 that divides 53376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 139, 192, 278, 384, 417, 556, 834, 1112, 1668, 2224, 3336, 4448, 6672, 8896, 13344, 17792, 26688

Step-4: Factors of 53394

List of positive integer factors of 53394 that divides 53376 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 809, 1618, 2427, 4854, 8899, 17798, 26697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53376 and 53394. The biggest common factor number is the GCF number.
So the greatest common factor 53376 and 53394 is 6.

Also check out the Least Common Multiple of 53376 and 53394