What is the Greatest Common Factor of 55385 and 55396?

Greatest common factor (GCF) of 55385 and 55396 is 11.

GCF(55385,55396) = 11

We will now calculate the prime factors of 55385 and 55396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55385 and 55396.

How to find the GCF of 55385 and 55396?

We will first find the prime factorization of 55385 and 55396. After we will calculate the factors of 55385 and 55396 and find the biggest common factor number .

Step-1: Prime Factorization of 55385

Prime factors of 55385 are 5, 11, 19, 53. Prime factorization of 55385 in exponential form is:

55385 = 5¹ × 11¹ × 19¹ × 53¹

Step-2: Prime Factorization of 55396

Prime factors of 55396 are 2, 11, 1259. Prime factorization of 55396 in exponential form is:

55396 = 2² × 11¹ × 1259¹

Step-3: Factors of 55385

List of positive integer factors of 55385 that divides 55385 without a remainder.

1, 5, 11, 19, 53, 55, 95, 209, 265, 583, 1007, 1045, 2915, 5035, 11077

Step-4: Factors of 55396

List of positive integer factors of 55396 that divides 55385 without a remainder.

1, 2, 4, 11, 22, 44, 1259, 2518, 5036, 13849, 27698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55385 and 55396. The biggest common factor number is the GCF number.
So the greatest common factor 55385 and 55396 is 11.

Also check out the Least Common Multiple of 55385 and 55396