What is the Greatest Common Factor of 55160 and 55177?

Greatest common factor (GCF) of 55160 and 55177 is 1.

GCF(55160,55177) = 1

We will now calculate the prime factors of 55160 and 55177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55160 and 55177.

How to find the GCF of 55160 and 55177?

We will first find the prime factorization of 55160 and 55177. After we will calculate the factors of 55160 and 55177 and find the biggest common factor number .

Step-1: Prime Factorization of 55160

Prime factors of 55160 are 2, 5, 7, 197. Prime factorization of 55160 in exponential form is:

55160 = 2³ × 5¹ × 7¹ × 197¹

Step-2: Prime Factorization of 55177

Prime factors of 55177 are 23, 2399. Prime factorization of 55177 in exponential form is:

55177 = 23¹ × 2399¹

Step-3: Factors of 55160

List of positive integer factors of 55160 that divides 55160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 197, 280, 394, 788, 985, 1379, 1576, 1970, 2758, 3940, 5516, 6895, 7880, 11032, 13790, 27580

Step-4: Factors of 55177

List of positive integer factors of 55177 that divides 55160 without a remainder.

1, 23, 2399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55160 and 55177. The biggest common factor number is the GCF number.
So the greatest common factor 55160 and 55177 is 1.

Also check out the Least Common Multiple of 55160 and 55177