What is the Greatest Common Factor of 53346 and 53363?

Greatest common factor (GCF) of 53346 and 53363 is 17.

GCF(53346,53363) = 17

We will now calculate the prime factors of 53346 and 53363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53346 and 53363.

How to find the GCF of 53346 and 53363?

We will first find the prime factorization of 53346 and 53363. After we will calculate the factors of 53346 and 53363 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 53363

Prime factors of 53363 are 17, 43, 73. Prime factorization of 53363 in exponential form is:

53363 = 17¹ × 43¹ × 73¹

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 53363

List of positive integer factors of 53363 that divides 53346 without a remainder.

1, 17, 43, 73, 731, 1241, 3139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53346 and 53363. The biggest common factor number is the GCF number.
So the greatest common factor 53346 and 53363 is 17.

Also check out the Least Common Multiple of 53346 and 53363