What is the Greatest Common Factor of 53346 and 53360?

Greatest common factor (GCF) of 53346 and 53360 is 2.

GCF(53346,53360) = 2

We will now calculate the prime factors of 53346 and 53360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53346 and 53360.

How to find the GCF of 53346 and 53360?

We will first find the prime factorization of 53346 and 53360. After we will calculate the factors of 53346 and 53360 and find the biggest common factor number .

Step-1: Prime Factorization of 53346

Prime factors of 53346 are 2, 3, 17, 523. Prime factorization of 53346 in exponential form is:

53346 = 2¹ × 3¹ × 17¹ × 523¹

Step-2: 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-3: Factors of 53346

List of positive integer factors of 53346 that divides 53346 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 523, 1046, 1569, 3138, 8891, 17782, 26673

Step-4: Factors of 53360

List of positive integer factors of 53360 that divides 53346 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53346 and 53360. The biggest common factor number is the GCF number.
So the greatest common factor 53346 and 53360 is 2.

Also check out the Least Common Multiple of 53346 and 53360