What is the Greatest Common Factor of 53394 and 53409?

Greatest common factor (GCF) of 53394 and 53409 is 3.

GCF(53394,53409) = 3

We will now calculate the prime factors of 53394 and 53409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53394 and 53409.

How to find the GCF of 53394 and 53409?

We will first find the prime factorization of 53394 and 53409. After we will calculate the factors of 53394 and 53409 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53409

Prime factors of 53409 are 3, 19, 937. Prime factorization of 53409 in exponential form is:

53409 = 3¹ × 19¹ × 937¹

Step-3: Factors of 53394

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

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

Step-4: Factors of 53409

List of positive integer factors of 53409 that divides 53394 without a remainder.

1, 3, 19, 57, 937, 2811, 17803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53394 and 53409. The biggest common factor number is the GCF number.
So the greatest common factor 53394 and 53409 is 3.

Also check out the Least Common Multiple of 53394 and 53409