What is the Greatest Common Factor of 53360 and 53376?

Greatest common factor (GCF) of 53360 and 53376 is 16.

GCF(53360,53376) = 16

We will now calculate the prime factors of 53360 and 53376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53360 and 53376.

How to find the GCF of 53360 and 53376?

We will first find the prime factorization of 53360 and 53376. After we will calculate the factors of 53360 and 53376 and find the biggest common factor number .

Step-1: Prime Factorization of 53360

Prime factors of 53360 are 2, 5, 23, 29. Prime factorization of 53360 in exponential form is:

53360 = 2⁴ × 5¹ × 23¹ × 29¹

Step-2: 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-3: Factors of 53360

List of positive integer factors of 53360 that divides 53360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 29, 40, 46, 58, 80, 92, 115, 116, 145, 184, 230, 232, 290, 368, 460, 464, 580, 667, 920, 1160, 1334, 1840, 2320, 2668, 3335, 5336, 6670, 10672, 13340, 26680

Step-4: Factors of 53376

List of positive integer factors of 53376 that divides 53360 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53360 and 53376. The biggest common factor number is the GCF number.
So the greatest common factor 53360 and 53376 is 16.

Also check out the Least Common Multiple of 53360 and 53376