What is the Greatest Common Factor of 55454 and 55471?

Greatest common factor (GCF) of 55454 and 55471 is 17.

GCF(55454,55471) = 17

We will now calculate the prime factors of 55454 and 55471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55454 and 55471.

How to find the GCF of 55454 and 55471?

We will first find the prime factorization of 55454 and 55471. After we will calculate the factors of 55454 and 55471 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55471

Prime factors of 55471 are 13, 17, 251. Prime factorization of 55471 in exponential form is:

55471 = 13¹ × 17¹ × 251¹

Step-3: Factors of 55454

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

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

Step-4: Factors of 55471

List of positive integer factors of 55471 that divides 55454 without a remainder.

1, 13, 17, 221, 251, 3263, 4267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55454 and 55471. The biggest common factor number is the GCF number.
So the greatest common factor 55454 and 55471 is 17.

Also check out the Least Common Multiple of 55454 and 55471