What is the Greatest Common Factor of 55471 and 55488?

Greatest common factor (GCF) of 55471 and 55488 is 17.

GCF(55471,55488) = 17

We will now calculate the prime factors of 55471 and 55488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55471 and 55488.

How to find the GCF of 55471 and 55488?

We will first find the prime factorization of 55471 and 55488. After we will calculate the factors of 55471 and 55488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55488

Prime factors of 55488 are 2, 3, 17. Prime factorization of 55488 in exponential form is:

55488 = 2⁶ × 3¹ × 17²

Step-3: Factors of 55471

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

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

Step-4: Factors of 55488

List of positive integer factors of 55488 that divides 55471 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 289, 408, 544, 578, 816, 867, 1088, 1156, 1632, 1734, 2312, 3264, 3468, 4624, 6936, 9248, 13872, 18496, 27744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55471 and 55488. The biggest common factor number is the GCF number.
So the greatest common factor 55471 and 55488 is 17.

Also check out the Least Common Multiple of 55471 and 55488