What is the Greatest Common Factor of 53306 and 53317?

Greatest common factor (GCF) of 53306 and 53317 is 11.

GCF(53306,53317) = 11

We will now calculate the prime factors of 53306 and 53317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53306 and 53317.

How to find the GCF of 53306 and 53317?

We will first find the prime factorization of 53306 and 53317. After we will calculate the factors of 53306 and 53317 and find the biggest common factor number .

Step-1: Prime Factorization of 53306

Prime factors of 53306 are 2, 11, 2423. Prime factorization of 53306 in exponential form is:

53306 = 2¹ × 11¹ × 2423¹

Step-2: Prime Factorization of 53317

Prime factors of 53317 are 11, 37, 131. Prime factorization of 53317 in exponential form is:

53317 = 11¹ × 37¹ × 131¹

Step-3: Factors of 53306

List of positive integer factors of 53306 that divides 53306 without a remainder.

1, 2, 11, 22, 2423, 4846, 26653

Step-4: Factors of 53317

List of positive integer factors of 53317 that divides 53306 without a remainder.

1, 11, 37, 131, 407, 1441, 4847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53306 and 53317. The biggest common factor number is the GCF number.
So the greatest common factor 53306 and 53317 is 11.

Also check out the Least Common Multiple of 53306 and 53317