What is the Greatest Common Factor of 55377 and 55385?

Greatest common factor (GCF) of 55377 and 55385 is 1.

GCF(55377,55385) = 1

We will now calculate the prime factors of 55377 and 55385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55377 and 55385.

How to find the GCF of 55377 and 55385?

We will first find the prime factorization of 55377 and 55385. After we will calculate the factors of 55377 and 55385 and find the biggest common factor number .

Step-1: Prime Factorization of 55377

Prime factors of 55377 are 3, 7, 293. Prime factorization of 55377 in exponential form is:

55377 = 3³ × 7¹ × 293¹

Step-2: 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-3: Factors of 55377

List of positive integer factors of 55377 that divides 55377 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 293, 879, 2051, 2637, 6153, 7911, 18459

Step-4: Factors of 55385

List of positive integer factors of 55385 that divides 55377 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55377 and 55385. The biggest common factor number is the GCF number.
So the greatest common factor 55377 and 55385 is 1.

Also check out the Least Common Multiple of 55377 and 55385