What is the Greatest Common Factor of 55437 and 55454?

Greatest common factor (GCF) of 55437 and 55454 is 17.

GCF(55437,55454) = 17

We will now calculate the prime factors of 55437 and 55454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55437 and 55454.

How to find the GCF of 55437 and 55454?

We will first find the prime factorization of 55437 and 55454. After we will calculate the factors of 55437 and 55454 and find the biggest common factor number .

Step-1: Prime Factorization of 55437

Prime factors of 55437 are 3, 17, 1087. Prime factorization of 55437 in exponential form is:

55437 = 3¹ × 17¹ × 1087¹

Step-2: Prime Factorization of 55454

Prime factors of 55454 are 2, 7, 17, 233. Prime factorization of 55454 in exponential form is:

55454 = 2¹ × 7¹ × 17¹ × 233¹

Step-3: Factors of 55437

List of positive integer factors of 55437 that divides 55437 without a remainder.

1, 3, 17, 51, 1087, 3261, 18479

Step-4: Factors of 55454

List of positive integer factors of 55454 that divides 55437 without a remainder.

1, 2, 7, 14, 17, 34, 119, 233, 238, 466, 1631, 3262, 3961, 7922, 27727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55437 and 55454. The biggest common factor number is the GCF number.
So the greatest common factor 55437 and 55454 is 17.

Also check out the Least Common Multiple of 55437 and 55454