What is the Greatest Common Factor of 55174 and 55188?

Greatest common factor (GCF) of 55174 and 55188 is 14.

GCF(55174,55188) = 14

We will now calculate the prime factors of 55174 and 55188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55174 and 55188.

How to find the GCF of 55174 and 55188?

We will first find the prime factorization of 55174 and 55188. After we will calculate the factors of 55174 and 55188 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55188

Prime factors of 55188 are 2, 3, 7, 73. Prime factorization of 55188 in exponential form is:

55188 = 2² × 3³ × 7¹ × 73¹

Step-3: Factors of 55174

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

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

Step-4: Factors of 55188

List of positive integer factors of 55188 that divides 55174 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 73, 84, 108, 126, 146, 189, 219, 252, 292, 378, 438, 511, 657, 756, 876, 1022, 1314, 1533, 1971, 2044, 2628, 3066, 3942, 4599, 6132, 7884, 9198, 13797, 18396, 27594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55174 and 55188. The biggest common factor number is the GCF number.
So the greatest common factor 55174 and 55188 is 14.

Also check out the Least Common Multiple of 55174 and 55188