What is the Greatest Common Factor of 55160 and 55174?

Greatest common factor (GCF) of 55160 and 55174 is 14.

GCF(55160,55174) = 14

We will now calculate the prime factors of 55160 and 55174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55160 and 55174.

How to find the GCF of 55160 and 55174?

We will first find the prime factorization of 55160 and 55174. After we will calculate the factors of 55160 and 55174 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 55174

Prime factors of 55174 are 2, 7, 563. Prime factorization of 55174 in exponential form is:

55174 = 2¹ × 7² × 563¹

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 55174

List of positive integer factors of 55174 that divides 55160 without a remainder.

1, 2, 7, 14, 49, 98, 563, 1126, 3941, 7882, 27587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55160 and 55174. The biggest common factor number is the GCF number.
So the greatest common factor 55160 and 55174 is 14.

Also check out the Least Common Multiple of 55160 and 55174