What is the Greatest Common Factor of 55470 and 55488?

Greatest common factor (GCF) of 55470 and 55488 is 6.

GCF(55470,55488) = 6

We will now calculate the prime factors of 55470 and 55488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55470 and 55488.

How to find the GCF of 55470 and 55488?

We will first find the prime factorization of 55470 and 55488. After we will calculate the factors of 55470 and 55488 and find the biggest common factor number .

Step-1: Prime Factorization of 55470

Prime factors of 55470 are 2, 3, 5, 43. Prime factorization of 55470 in exponential form is:

55470 = 2¹ × 3¹ × 5¹ × 43²

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 55470

List of positive integer factors of 55470 that divides 55470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290, 1849, 3698, 5547, 9245, 11094, 18490, 27735

Step-4: Factors of 55488

List of positive integer factors of 55488 that divides 55470 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 55470 and 55488. The biggest common factor number is the GCF number.
So the greatest common factor 55470 and 55488 is 6.

Also check out the Least Common Multiple of 55470 and 55488